Given Numbers: 3, 5, 10, 12
Identify the Prime Factors of 3, 5, 10 and 12 by Prime Factorization:
Prime Factorization of 3: 3 = 31 (prime number)
Prime Factorization of 5: 5 = 51 (prime number)
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factors of 3, 5, 10 and 12 (collectively): 2, 3 and 5
Least Common Multiple of 3, 5, 10 and 12 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(3, 5, 10, 12) = 22 x 31 x 51
LCM(3, 5, 10, 12) = 4 x 3 x 5
LCM(3, 5, 10, 12) = 60
Least Common Multiple of 3, 5, 10 and 12 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
