Least Common Multiple of 21, 84, 564, 142

Q: How to Find the LCM of 21, 84, 564, 142 ?

Least Common Multiple of 21, 84, 564, 142 = 280308 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(21, 84, 564, 142) = 2 x 2 x 3 x 7 x 47 x 71 = 280308.

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 21, 84, 564, 142 i.e. 280308 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 84, 564, 142 is 280308.

LCM(21, 84, 564, 142) = 280308

LCM of 21, 84, 564, 142

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

Least Common Multiple of 21, 84, 564, 142 by common division method
Least Common Multiple of 21, 84, 564, 142 with GCF Formula

Least Common Multiple of 21,84,564,142

Least Common Multiple (LCM) of 21,84,564,142 is 280308

2	21, 84, 564, 142
2	21, 42, 282, 71
3	21, 21, 141, 71
7	7, 7, 47, 71
	1, 1, 47, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 47 x 71 = 280308

Least Common Multiple of 21,84,564,142 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 21,84,564,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,84,564,142) = 1

common factors(in case of two or more numbers have common factors) = 504

GCF(21,84,564,142) x common factors =1 x 504 = 504

LCM(21,84,564,142) = ( 21 × 84 × 564 × 142 ) / 504

LCM(21,84,564,142) = 141275232 / 504

LCM(21,84,564,142) = 280308

∴ Least Common Multiple of 21,84,564,142 is 280308

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 21, 84, 564, 142

1. What is the LCM of 21, 84, 564, 142?

Answer: LCM of 21, 84, 564, 142 is 280308.

2. What are the Factors of 280308?

Answer: Factors of 280308 are . There are integers that are factors of 280308

3. How to Find the LCM of 21, 84, 564, 142 ?

Least Common Multiple of 21, 84, 564, 142.

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(21, 84, 564, 142) = 2 x 2 x 3 x 7 x 47 x 71 = 280308.