Why are #60 and 120# common multiples of #10 and 12?#

2 Answers
Sep 30, 2017

Put simply, #120# and #60# are divisible by both #10# and #12#.

#120/10 = 12#; #120/12 = 10#; #60/10 = 6#; #60/12 = 5#.

Oct 1, 2017

Some numbers are common multiples of smaller numbers.

Explanation:

Write down the multiples of both #10 and 12#:

#10: rarr" " 10,20,30,40,50,color(blue)(60),70,80,90,100,110,color(blue)(120),130,...#

#12: rarr" "12,24,36,48,color(blue)(60),72,84,96,108,color(blue)(120),132,144...#