Find the LCM of 24, 36 and 48 ? Thank you

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Answer 1 · 2018-04-17T21:19:06

#LCM=144#

Factors of 24: #1,24,##2,12#, #3,8#, #4,6#

Factors of 36: #1,36#, #2,18#, #3,12#, #4,9#, #6,6#

Factors of 48: #1,48#, #2,21#, #3,16#, #4,12#, #6,8#

Prime factors of 24=#2^3(3)#
Prime factors of 36=#2^2(3^2)#
Prime factors of 48=#2^4(3)#

#Common prime# factors: #2 , 3#

#Common prime# factors with the greatest exponent: #2^4, 3^2#

#2^4 (3^2)#=#144#