Identify the Prime Factors of 120, 210 and 330 by Prime Factorization:
Prime Factorization of 120: 120 = 2 x 2 x 2 x 3 x 5 = 23 x 31 x 51
Prime Factorization of 210: 210 = 2 x 3 x 5 x 7 = 21 x 31 x 51 x 71
Prime Factorization of 330: 330 = 2 x 3 x 5 x 11 = 21 x 31 x 51 x 111
Prime Factors of 120, 210 and 330: 2, 3, 5, 7 and 11
Least Common Multiple of 120, 210 and 330 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(120,210,330) = 23 x 31 x 51 x 71 x 111
LCM(120,210,330) = 8 x 3 x 5 x 7 x 11
LCM(120,210,330) = 9,240
Least Common Multiple of 120, 210 and 330 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.