Least Common Multiple of 271, 342, 420

Q: How to Find the LCM of 271, 342, 420 ?

Least Common Multiple of 271, 342, 420 = 6487740 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(271, 342, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 271 = 6487740.

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 271, 342, 420 i.e. 6487740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 271, 342, 420 is 6487740.

LCM(271, 342, 420) = 6487740

LCM of 271, 342, 420

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

Least Common Multiple of 271, 342, 420 by common division method
Least Common Multiple of 271, 342, 420 with GCF Formula

Least Common Multiple of 271,342,420

Least Common Multiple (LCM) of 271,342,420 is 6487740

2	271, 342, 420
3	271, 171, 210
	271, 57, 70

∴ So the LCM of the given numbers is 2 x 3 x 271 x 57 x 70 = 6487740

Least Common Multiple of 271,342,420 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 271,342,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,342,420) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(271,342,420) x common factors =1 x 6 = 6

LCM(271,342,420) = ( 271 × 342 × 420 ) / 6

LCM(271,342,420) = 38926440 / 6

LCM(271,342,420) = 6487740

∴ Least Common Multiple of 271,342,420 is 6487740

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 271, 342, 420

1. What is the LCM of 271, 342, 420?

Answer: LCM of 271, 342, 420 is 6487740.

2. What are the Factors of 6487740?

Answer: Factors of 6487740 are . There are integers that are factors of 6487740

3. How to Find the LCM of 271, 342, 420 ?

Least Common Multiple of 271, 342, 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(271, 342, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 271 = 6487740.