1. 90,39 = 3 1170
Q1. Find the L.C.M by using the prime factors of each number.
1170
2. 70.60 =
L.C.M =
30
L.C.M=11701170
Answers
Answer:
Step-by-step explanation:Least Common Multiple of 30 and 39 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30 and 39, than apply into the LCM equation.
GCF(30,39) = 3
LCM(30,39) = ( 30 × 39) / 3
LCM(30,39) = 1170 / 3
LCM(30,39) = 390
Least Common Multiple (LCM) of 30 and 39 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30 and 39. First we will calculate the prime factors of 30 and 39.
Prime Factorization of 30
Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:
30 = 21 × 31 × 51
Prime Factorization of 39
Prime factors of 39 are 3, 13. Prime factorization of 39 in exponential form is:
39 = 31 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 30 and 39.
LCM(30,39) = 21 × 31 × 51 × 131
LCM(30,39) = 390