Least Common Multiple of 675, 180, 714

Q: How to Find the LCM of 675, 180, 714 ?

Least Common Multiple of 675, 180, 714 = 321300 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(675, 180, 714) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 = 321300.

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 675, 180, 714 i.e. 321300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 675, 180, 714 is 321300.

LCM(675, 180, 714) = 321300

LCM of 675, 180, 714

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

Least Common Multiple of 675, 180, 714 by common division method
Least Common Multiple of 675, 180, 714 with GCF Formula

Least Common Multiple of 675,180,714

Least Common Multiple (LCM) of 675,180,714 is 321300

2	675, 180, 714
3	675, 90, 357
3	225, 30, 119
5	75, 10, 119
	15, 2, 119

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 15 x 2 x 119 = 321300

Least Common Multiple of 675,180,714 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 675,180,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,180,714) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(675,180,714) x common factors =3 x 90 = 270

LCM(675,180,714) = ( 675 × 180 × 714 ) / 270

LCM(675,180,714) = 86751000 / 270

LCM(675,180,714) = 321300

∴ Least Common Multiple of 675,180,714 is 321300

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 675, 180, 714

1. What is the LCM of 675, 180, 714?

Answer: LCM of 675, 180, 714 is 321300.

2. What are the Factors of 321300?

Answer: Factors of 321300 are . There are integers that are factors of 321300

3. How to Find the LCM of 675, 180, 714 ?

Least Common Multiple of 675, 180, 714.

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(675, 180, 714) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 17 = 321300.