Least Common Multiple of 714, 540, 420

Q: How to Find the LCM of 714, 540, 420 ?

Least Common Multiple of 714, 540, 420 = 64260 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, 540, 420) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 = 64260.

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, 540, 420 i.e. 64260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 714, 540, 420 is 64260.

LCM(714, 540, 420) = 64260

LCM of 714, 540, 420

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

Least Common Multiple of 714, 540, 420 by common division method
Least Common Multiple of 714, 540, 420 with GCF Formula

Least Common Multiple of 714,540,420

Least Common Multiple (LCM) of 714,540,420 is 64260

2	714, 540, 420
2	357, 270, 210
3	357, 135, 105
5	119, 45, 35
7	119, 9, 7
	17, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 17 x 9 x 1 = 64260

Least Common Multiple of 714,540,420 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 714,540,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,540,420) = 6

common factors(in case of two or more numbers have common factors) = 420

GCF(714,540,420) x common factors =6 x 420 = 2520

LCM(714,540,420) = ( 714 × 540 × 420 ) / 2520

LCM(714,540,420) = 161935200 / 2520

LCM(714,540,420) = 64260

∴ Least Common Multiple of 714,540,420 is 64260

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, 540, 420

1. What is the LCM of 714, 540, 420?

Answer: LCM of 714, 540, 420 is 64260.

2. What are the Factors of 64260?

Answer: Factors of 64260 are . There are integers that are factors of 64260

3. How to Find the LCM of 714, 540, 420 ?

Least Common Multiple of 714, 540, 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(714, 540, 420) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 = 64260.