Least Common Multiple of 90, 18, 420

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

• Least Common Multiple of 90, 18, 420 by common division method
• Least Common Multiple of 90, 18, 420 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 14 = 1260

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 90,18,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,18,420) = 6

common factors(in case of two or more numbers have common factors) = 90

GCF(90,18,420) x common factors =6 x 90 = 540

LCM(90,18,420) = ( 90 × 18 × 420 ) / 540

LCM(90,18,420) = 680400 / 540

LCM(90,18,420) = 1260

∴ Least Common Multiple of 90,18,420 is 1260

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

• LCM of 40, 42, 965
• LCM of 51, 36, 698
• LCM of 81, 83, 359
• LCM of 29, 95, 801
• LCM of 31, 44, 983

1. What is the LCM of 90, 18, 420?

Answer: LCM of 90, 18, 420 is 1260.

2. What are the Factors of 1260?

Answer: Factors of 1260 are . There are integers that are factors of 1260

3. How to Find the LCM of 90, 18, 420 ?

Least Common Multiple of 90, 18, 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(90, 18, 420) = 2 x 2 x 3 x 3 x 5 x 7 = 1260.