Identify the Prime Factors of 8, 30 and 45 by Prime Factorization:
Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 45: 45 = 3 x 3 x 5 = 32 x 51
Prime Factors of 8, 30 and 45: 2, 3 and 5
Least Common Multiple of 8, 30 and 45 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(8,30,45) = 23 x 32 x 51
LCM(8,30,45) = 8 x 9 x 5
LCM(8,30,45) = 360
Least Common Multiple of 8, 30 and 45 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
