Least Common Multiple of 852, 142, 342

Q: How to Find the LCM of 852, 142, 342 ?

Least Common Multiple of 852, 142, 342 = 48564 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(852, 142, 342) = 2 x 2 x 3 x 3 x 19 x 71 = 48564.

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 852, 142, 342 i.e. 48564 smallest integer divisible by all numbers.

Least common multiple (LCM) of 852, 142, 342 is 48564.

LCM(852, 142, 342) = 48564

LCM of 852, 142, 342

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

Least Common Multiple of 852, 142, 342 by common division method
Least Common Multiple of 852, 142, 342 with GCF Formula

Least Common Multiple of 852,142,342

Least Common Multiple (LCM) of 852,142,342 is 48564

2	852, 142, 342
3	426, 71, 171
71	142, 71, 57
	2, 1, 57

∴ So the LCM of the given numbers is 2 x 3 x 71 x 2 x 1 x 57 = 48564

Least Common Multiple of 852,142,342 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 852,142,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,142,342) = 2

common factors(in case of two or more numbers have common factors) = 426

GCF(852,142,342) x common factors =2 x 426 = 852

LCM(852,142,342) = ( 852 × 142 × 342 ) / 852

LCM(852,142,342) = 41376528 / 852

LCM(852,142,342) = 48564

∴ Least Common Multiple of 852,142,342 is 48564

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 852, 142, 342

1. What is the LCM of 852, 142, 342?

Answer: LCM of 852, 142, 342 is 48564.

2. What are the Factors of 48564?

Answer: Factors of 48564 are . There are integers that are factors of 48564

3. How to Find the LCM of 852, 142, 342 ?

Least Common Multiple of 852, 142, 342.

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(852, 142, 342) = 2 x 2 x 3 x 3 x 19 x 71 = 48564.