Least Common Multiple of 714, 180, 320

Q: How to Find the LCM of 714, 180, 320 ?

Least Common Multiple of 714, 180, 320 = 342720 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(714, 180, 320) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 342720.

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 714, 180, 320 i.e. 342720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 714, 180, 320 is 342720.

LCM(714, 180, 320) = 342720

LCM of 714, 180, 320

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

Least Common Multiple of 714, 180, 320 by common division method
Least Common Multiple of 714, 180, 320 with GCF Formula

Least Common Multiple of 714,180,320

Least Common Multiple (LCM) of 714,180,320 is 342720

2	714, 180, 320
2	357, 90, 160
3	357, 45, 80
5	119, 15, 80
	119, 3, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 119 x 3 x 16 = 342720

Least Common Multiple of 714,180,320 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 714,180,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,180,320) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(714,180,320) x common factors =2 x 60 = 120

LCM(714,180,320) = ( 714 × 180 × 320 ) / 120

LCM(714,180,320) = 41126400 / 120

LCM(714,180,320) = 342720

∴ Least Common Multiple of 714,180,320 is 342720

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 714, 180, 320

1. What is the LCM of 714, 180, 320?

Answer: LCM of 714, 180, 320 is 342720.

2. What are the Factors of 342720?

Answer: Factors of 342720 are . There are integers that are factors of 342720

3. How to Find the LCM of 714, 180, 320 ?

Least Common Multiple of 714, 180, 320.

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(714, 180, 320) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 = 342720.