Identify the Prime Factors of 40, 60, 90 and 120 by Prime Factorization:
Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factorization of 90: 90 = 2 x 3 x 3 x 5 = 21 x 32 x 51
Prime Factorization of 120: 120 = 2 x 2 x 2 x 3 x 5 = 23 x 31 x 51
Prime Factors of 40, 60, 90 and 120: 2, 3 and 5
Least Common Multiple of 40, 60, 90 and 120 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(40,60,90,120) = 23 x 32 x 51
LCM(40,60,90,120) = 8 x 9 x 5
LCM(40,60,90,120) = 360
Least Common Multiple of 40, 60, 90 and 120 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.