Identify the Prime Factors of 42, 105 and 147 by Prime Factorization:
Prime Factorization of 42: 42 = 2 x 3 x 7 = 21 x 31 x 71
Prime Factorization of 105: 105 = 3 x 5 x 7 = 31 x 51 x 71
Prime Factorization of 147: 147 = 3 x 7 x 7 = 31 x 72
Prime Factors of 42, 105 and 147: 2, 3, 5 and 7
Least Common Multiple of 42, 105 and 147 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(42,105,147) = 21 x 31 x 51 x 72
LCM(42,105,147) = 2 x 3 x 5 x 49
LCM(42,105,147) = 1,470
Least Common Multiple of 42, 105 and 147 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.