How do you find the least common multiple of 24 and 124?

2 Answers
Dec 11, 2017

This method works for two numbers

Explanation:

write #24/124# as smallest possible fraction.
So #24/124# becomes #12/62# and then #6/31#.
#6/31# is the smallest possible fraction.
now take the denominator(i.e, 31) and multiply with 24 or other way around , you can take numerator ( i.e,6) and multiply with 124.

So, the answer would be 2431 = 6124 = 744.
hope this helps!

Dec 11, 2017

See steps and process below;

Explanation:

Finding the Least Common Multiple of #24# and #124# you need to find the common factors of the given digits..

#24 = 2 xx 2 xx 2 xx 3#

#124 = 2 xx 2 xx 31#

Recall the common digits!

Which are;

#24 = color(red)(2 xx 2) xx 2 xx 3#

#124 = color (red)(2 xx 2) xx 31#

Please note that the ones in color shouldn't be repeated but be written once..

Hence the common multiple is as follows;

LCM: #2 xx 2 xx 3 xx 31 = 372#

Hence the LCM of #24 and 124# is #372#