Why would [all] three accounts of the same discourse not match?
The audience. Paul defined it really good he said we preach Christ and him crucified. To the Jews a stumbling block and the Greeks foolishness. Why because the Jews seek a sign and the Greeks wisdom.
So one message but two different obstacles. The Jews did not find that Christ was the messiah. The Greeks or us gentiles we find it foolish.
Has not changed if you have ever witnessed you will find the same two obstacles today. You will find that you have to overcome science or the worlds wisdom, be it atheism or evolution or etc. You have to overcome that these folks see it as foolishness.
Talk to someone who is Jewish or religious and you face the obstacle of I was baptized as a child or I am a member of church and etc. Christ faced the problem that Jews would claim I am ethnically Abrahams seed so I am good to go. To which he would let them know that is not the case. So is the same today.
For us though though the distinction is between the unsaved religious and the unsaved brought up in the words wisdom and education system. However, is the same to one group a stumbling block and to the other foolishness.
Scholars and theologians can explain it more in detail than I will attempt here.
Matthew was written by a tax collector who was Jewish. So he did not write chronologically. Matthew like a mathematician would do he grouped and columnized his message. Matthew is written in 5 or 6 topics all of which Matthew used as evidence to point that Jesus was in fact the Christ or the promised messiah.
Luke wrote as a doctor and he is chronological.
Take chapter one of each book and it shows from the start how they wrote. Matthew goes back to Christ being the seed of Abraham and of David. Then he goes into the birth of Christ.
Luke starts with,
It seemed good to me also, having had perfect understanding of all things from the very first, to write unto thee in order, most excellent Theophilus,
He is writing chronologically so he goes into the message of John the Baptist and then the message of Christ then the birth of John and then the birth of Christ.
So some of Matthew 24 is not chronological. Which by that I mean that is not when Christ gave that particular message. Because Matthews focus is on showing the Jews that Jesus was the Christ and how it related to old testament scriptures and prophecies.
Whereas Luke recorded chronologically the messages. So for example the parts of in the days of Noah. Matthew places that as part of the topic because he is making a argument for Jesus is the Christ and it relates the the authority and the topical argument as it relates to the second coming.
Luke you can find the same message in Luke 17 for that part because Luke is writing chronologically as to when that message was given.
However, the message is the same and the place the same. In Luke 17 the disciples ask where Lord and he says where the body is there will be the eagles gathered. Matthew 24 records the same message but again is not chronological as in Christ had said that message prior but Matthew is emphasizing the topic and keeping it grouped.
Matthew records the message as where the carcass is there will be the eagles gathered. Then after that then says immediately after the tribulation of those days.
Both are the same message but expressed differently. The Jews are gonna know that from the old testament that is Ezekiel 39 to which the Lord proclaims how the birds would gather and eat the flesh of mighty men.
These versus fall chronologically in Revelation 19:17-18, And I saw an angel standing in the sun; and he cried with a loud voice, saying to all the fowls that fly in the midst of heaven, Come and gather yourselves together unto the supper of the great God;
18That ye may eat the flesh of kings, and the flesh of captains, and the flesh of mighty men, and the flesh of horses, and of them that sit on them, and the flesh of all
men, both free and bond, both small and great.
So it is not the rapture in Matthew 24, it is the second coming and the gathering back to Israel where the bodies will be and the eagles gathered to feast.
So the message is always the same but the obstacles different in that we preach Christ crucified but one will seek a sign and another wisdom, so to one a stumbling block and to the other foolishness.
Why we ourselves have to become all things to all men because the obstacles will be different. So anyway the difference in the gospels is the audience and how one is themed or grouped and the other written chronologically for that audience.
Anyway check out what scholars and theologians have to say as I am just hitting on bits and paraphrasing whereas they will go into more detail as to how the gospels were written and how it was messaged for the audience.
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Saturate in the epistles for awhile so you can pick up what Jesus had to say FURTHER [Jn16:12 "I have 
