Least Common Multiple of 87, 76, 212, 282

Q: How to Find the LCM of 87, 76, 212, 282 ?

Least Common Multiple of 87, 76, 212, 282 = 16470492 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(87, 76, 212, 282) = 2 x 2 x 3 x 19 x 29 x 47 x 53 = 16470492.

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 87, 76, 212, 282 i.e. 16470492 smallest integer divisible by all numbers.

Least common multiple (LCM) of 87, 76, 212, 282 is 16470492.

LCM(87, 76, 212, 282) = 16470492

LCM of 87, 76, 212, 282

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

Least Common Multiple of 87, 76, 212, 282 by common division method
Least Common Multiple of 87, 76, 212, 282 with GCF Formula

Least Common Multiple of 87,76,212,282

Least Common Multiple (LCM) of 87,76,212,282 is 16470492

2	87, 76, 212, 282
2	87, 38, 106, 141
3	87, 19, 53, 141
	29, 19, 53, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 19 x 53 x 47 = 16470492

Least Common Multiple of 87,76,212,282 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 87,76,212,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,76,212,282) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(87,76,212,282) x common factors =1 x 24 = 24

LCM(87,76,212,282) = ( 87 × 76 × 212 × 282 ) / 24

LCM(87,76,212,282) = 395291808 / 24

LCM(87,76,212,282) = 16470492

∴ Least Common Multiple of 87,76,212,282 is 16470492

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 87, 76, 212, 282

1. What is the LCM of 87, 76, 212, 282?

Answer: LCM of 87, 76, 212, 282 is 16470492.

2. What are the Factors of 16470492?

Answer: Factors of 16470492 are . There are integers that are factors of 16470492

3. How to Find the LCM of 87, 76, 212, 282 ?

Least Common Multiple of 87, 76, 212, 282.

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(87, 76, 212, 282) = 2 x 2 x 3 x 19 x 29 x 47 x 53 = 16470492.