Least Common Multiple of 96, 420, 714

Q: How to Find the LCM of 96, 420, 714 ?

Least Common Multiple of 96, 420, 714 = 57120 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(96, 420, 714) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 = 57120.

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 96, 420, 714 i.e. 57120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 420, 714 is 57120.

LCM(96, 420, 714) = 57120

LCM of 96, 420, 714

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

Least Common Multiple of 96, 420, 714 by common division method
Least Common Multiple of 96, 420, 714 with GCF Formula

Least Common Multiple of 96,420,714

Least Common Multiple (LCM) of 96,420,714 is 57120

2	96, 420, 714
2	48, 210, 357
3	24, 105, 357
7	8, 35, 119
	8, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 5 x 17 = 57120

Least Common Multiple of 96,420,714 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 96,420,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,420,714) = 6

common factors(in case of two or more numbers have common factors) = 84

GCF(96,420,714) x common factors =6 x 84 = 504

LCM(96,420,714) = ( 96 × 420 × 714 ) / 504

LCM(96,420,714) = 28788480 / 504

LCM(96,420,714) = 57120

∴ Least Common Multiple of 96,420,714 is 57120

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 96, 420, 714

1. What is the LCM of 96, 420, 714?

Answer: LCM of 96, 420, 714 is 57120.

2. What are the Factors of 57120?

Answer: Factors of 57120 are . There are integers that are factors of 57120

3. How to Find the LCM of 96, 420, 714 ?

Least Common Multiple of 96, 420, 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(96, 420, 714) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 = 57120.