Least Common Multiple of 270, 560, 392

Q: How to Find the LCM of 270, 560, 392 ?

Least Common Multiple of 270, 560, 392 = 105840 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(270, 560, 392) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.

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 270, 560, 392 i.e. 105840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 270, 560, 392 is 105840.

LCM(270, 560, 392) = 105840

LCM of 270, 560, 392

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

Least Common Multiple of 270, 560, 392 by common division method
Least Common Multiple of 270, 560, 392 with GCF Formula

Least Common Multiple of 270,560,392

Least Common Multiple (LCM) of 270,560,392 is 105840

2	270, 560, 392
2	135, 280, 196
2	135, 140, 98
5	135, 70, 49
7	27, 14, 49
	27, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 27 x 2 x 7 = 105840

Least Common Multiple of 270,560,392 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 270,560,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,560,392) = 2

common factors(in case of two or more numbers have common factors) = 280

GCF(270,560,392) x common factors =2 x 280 = 560

LCM(270,560,392) = ( 270 × 560 × 392 ) / 560

LCM(270,560,392) = 59270400 / 560

LCM(270,560,392) = 105840

∴ Least Common Multiple of 270,560,392 is 105840

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 270, 560, 392

1. What is the LCM of 270, 560, 392?

Answer: LCM of 270, 560, 392 is 105840.

2. What are the Factors of 105840?

Answer: Factors of 105840 are . There are integers that are factors of 105840

3. How to Find the LCM of 270, 560, 392 ?

Least Common Multiple of 270, 560, 392.

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(270, 560, 392) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.