Least Common Multiple of 12, 30, 420

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

• Least Common Multiple of 12, 30, 420 by common division method
• Least Common Multiple of 12, 30, 420 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 7 = 420

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 12,30,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,30,420) = 6

common factors(in case of two or more numbers have common factors) = 60

GCF(12,30,420) x common factors =6 x 60 = 360

LCM(12,30,420) = ( 12 × 30 × 420 ) / 360

LCM(12,30,420) = 151200 / 360

LCM(12,30,420) = 420

∴ Least Common Multiple of 12,30,420 is 420

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

• LCM of 29, 51, 379
• LCM of 37, 66, 721
• LCM of 19, 69, 707
• LCM of 85, 43, 595
• LCM of 18, 92, 785

1. What is the LCM of 12, 30, 420?

Answer: LCM of 12, 30, 420 is 420.

2. What are the Factors of 420?

Answer: Factors of 420 are . There are integers that are factors of 420

3. How to Find the LCM of 12, 30, 420 ?

Least Common Multiple of 12, 30, 420.

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(12, 30, 420) = 2 x 2 x 3 x 5 x 7 = 420.