Find the LCM of = 18,36,45 and 50 step-by-step explanation please
Answers
Step-by-step explanation:
18 = 2*3*3
36= 2*2*3*3
45= 3*3*5
Answer:
Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 45. First we will calculate the prime factors of 36 and 45.
Prime Factorization of 36
2 36
2 18
3 9
3 3
1
Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:
36 = 22×32
Prime Factorization of 45
3 45
3 15
5 5
1
Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:
45 = 32×51
Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 45.
LCM(36,45) = 22×32×51
LCM(36,45) = 180
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Step-by-step explanation:
hope it's helpful for you