Given Numbers: 10, 20, 30, 40, 50, 60, 70
Identify the Prime Factors of 10, 20, 30, 40, 50, 60 and 70 by Prime Factorization:
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 20: 20 = 2 x 2 x 5 = 22 x 51
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 40: 40 = 2 x 2 x 2 x 5 = 23 x 51
Prime Factorization of 50: 50 = 2 x 5 x 5 = 21 x 52
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factorization of 70: 70 = 2 x 5 x 7 = 21 x 51 x 71
Prime Factors of 10, 20, 30, 40, 50, 60 and 70 (collectively): 2, 3, 5 and 7
Least Common Multiple of 10, 20, 30, 40, 50, 60 and 70 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(10, 20, 30, 40, 50, 60, 70) = 23 x 31 x 52 x 71
LCM(10, 20, 30, 40, 50, 60, 70) = 8 x 3 x 25 x 7
LCM(10, 20, 30, 40, 50, 60, 70) = 4,200
Least Common Multiple of 10, 20, 30, 40, 50, 60 and 70 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
