Least Common Multiple of 6, 30, 36, 45

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

• Least Common Multiple of 6, 30, 36, 45 by common division method
• Least Common Multiple of 6, 30, 36, 45 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 2 x 1 = 180

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6,30,36,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,30,36,45) = 3

common factors(in case of two or more numbers have common factors) = 540

GCF(6,30,36,45) x common factors =3 x 540 = 1620

LCM(6,30,36,45) = ( 6 × 30 × 36 × 45 ) / 1620

LCM(6,30,36,45) = 291600 / 1620

LCM(6,30,36,45) = 180

∴ Least Common Multiple of 6,30,36,45 is 180

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 2, 80, 68, 86
• LCM of 3, 56, 49, 25
• LCM of 1, 80, 85, 71
• LCM of 3, 85, 66, 71
• LCM of 7, 80, 71, 58

1. What is the LCM of 6, 30, 36, 45?

Answer: LCM of 6, 30, 36, 45 is 180.

2. What are the Factors of 180?

Answer: Factors of 180 are . There are integers that are factors of 180

3. How to Find the LCM of 6, 30, 36, 45 ?

Least Common Multiple of 6, 30, 36, 45.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(6, 30, 36, 45) = 2 x 2 x 3 x 3 x 5 = 180.