Least Common Multiple of 212, 318, 900

Q: How to Find the LCM of 212, 318, 900 ?

Least Common Multiple of 212, 318, 900 = 47700 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(212, 318, 900) = 2 x 2 x 3 x 3 x 5 x 5 x 53 = 47700.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 212, 318, 900 i.e. 47700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 212, 318, 900 is 47700.

LCM(212, 318, 900) = 47700

LCM of 212, 318, 900

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

Least Common Multiple of 212, 318, 900 by common division method
Least Common Multiple of 212, 318, 900 with GCF Formula

Least Common Multiple of 212,318,900

Least Common Multiple (LCM) of 212,318,900 is 47700

2	212, 318, 900
2	106, 159, 450
3	53, 159, 225
53	53, 53, 75
	1, 1, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 1 x 1 x 75 = 47700

Least Common Multiple of 212,318,900 with GCF Formula

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 212,318,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,318,900) = 2

common factors(in case of two or more numbers have common factors) = 636

GCF(212,318,900) x common factors =2 x 636 = 1272

LCM(212,318,900) = ( 212 × 318 × 900 ) / 1272

LCM(212,318,900) = 60674400 / 1272

LCM(212,318,900) = 47700

∴ Least Common Multiple of 212,318,900 is 47700

LCM of two or more Numbers Calculation Examples

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

Frequently Asked Questions on LCM of 212, 318, 900

1. What is the LCM of 212, 318, 900?

Answer: LCM of 212, 318, 900 is 47700.

2. What are the Factors of 47700?

Answer: Factors of 47700 are . There are integers that are factors of 47700

3. How to Find the LCM of 212, 318, 900 ?

Least Common Multiple of 212, 318, 900.

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(212, 318, 900) = 2 x 2 x 3 x 3 x 5 x 5 x 53 = 47700.