Because 35 is the lowest number that both 5 and 7 will divide into evenly.
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List the multiples of 5 and 7.
5, 10, 15, 20, 25, 30, 35, 40
7, 14, 28, 35, 42
35 is the smallest number that appears on both lists.
The LCM is: 35
lcm(7, 20, 35) = 140 7 = 7 20 = 2^2 x 5 35 = 5 x 7 lcm = 2^2 x 5 x 7 = 140
Factor them. 7 2 x 2 x 5 = 20 5 x 7 = 35 Combine the highest amount of each factor. 2 x 2 x 5 x 7 = 140, the LCM
Least Common Multiple (LCM) for 5 7 is 35.
The LCM is 175.