What is gcm of 24 30?

Answer 1

Be careful, you're asking for the Greatest Common Multiple here, the largest number that both 24 and 30 are factors of. Unless there's a limit as to how high your number can be, your GCM can go on forever. Now if you're asking for LCM (Least Common Multiple) or GCF (Greatest Common Factor), that's a different story.

GCF is the largest factor that both 24 and 30 share that divides the numbers and still give a whole quotient (meaning no fractions or decimals). Factors for 24 are 1,2,3,4,6,8,12,24 and factors for 30 are 1,2,3,5,6,10,15,30. The highest factor that both numbers share is 6, your GCF here.

LCM is the first number you come across where both 24 and 30 are multiples for it. Start by adding each number to itself until you find that they each equal a particular sum.

24 -> 48 -> 72 -> 96 -> 120

30 -> 60 -> 90 -> 120

Both are multiples of 120 and 120 is the first time they're multiples of the same number, so 120 is your LCM.