Least Common Multiple of 338, 546, 270

Q: How to Find the LCM of 338, 546, 270 ?

Least Common Multiple of 338, 546, 270 = 319410 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(338, 546, 270) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 13 = 319410.

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 338, 546, 270 i.e. 319410 smallest integer divisible by all numbers.

Least common multiple (LCM) of 338, 546, 270 is 319410.

LCM(338, 546, 270) = 319410

LCM of 338, 546, 270

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

Least Common Multiple of 338, 546, 270 by common division method
Least Common Multiple of 338, 546, 270 with GCF Formula

Least Common Multiple of 338,546,270

Least Common Multiple (LCM) of 338,546,270 is 319410

2	338, 546, 270
3	169, 273, 135
13	169, 91, 45
	13, 7, 45

∴ So the LCM of the given numbers is 2 x 3 x 13 x 13 x 7 x 45 = 319410

Least Common Multiple of 338,546,270 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 338,546,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,546,270) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(338,546,270) x common factors =2 x 78 = 156

LCM(338,546,270) = ( 338 × 546 × 270 ) / 156

LCM(338,546,270) = 49827960 / 156

LCM(338,546,270) = 319410

∴ Least Common Multiple of 338,546,270 is 319410

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 338, 546, 270

1. What is the LCM of 338, 546, 270?

Answer: LCM of 338, 546, 270 is 319410.

2. What are the Factors of 319410?

Answer: Factors of 319410 are . There are integers that are factors of 319410

3. How to Find the LCM of 338, 546, 270 ?

Least Common Multiple of 338, 546, 270.

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(338, 546, 270) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 13 = 319410.