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What is the LCM of 25 ;40;60

Answer»

Hey there!!

How do we find LCM? To find LCM, first let's understand what LCM is.

LCM stands or Least common MULTIPLE

Let' now break this down into three part.

1) Least - Least in the sense first. It's like the first number which meets the criteria/demand.

2) Common - Common between  all the numbers given to us.

3) Multiple - It is a number which leave a remainder of 0 when divided with the numbers given to us. For example,  the multiple of 2 are 2 , 4 , 6 , 8 , 10 , 12 etc.

Now, GETTING it all together, LCM is the first common multiple between the numbers given to us.

Let's write the multiples of each of the number given to us:

25 - 25 , 50 , 75 , 100 , 125 , 150 , 175 , 200 , 225 , 250 , 275 , 300 , 325 , 350 , 375 , 400 , 425 , 450 , 475 , 500 , 525 , 550 , 575 , 600

40 - 40 , 80 , 120 , 160 , 200 , 240 , 280 , 320 , 360 , 400 , 440 , 480 , 520 , 540 , 600

60 - 60 , 120 , 180 , 240 , 300 , 360 , 420 , 480 , 540 , 600

Now that we have all the multiples, Let's check for the first common multiple.

The LCM is 600.

The answer is 600.

Hope it helps! :)



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