Least Common Multiple of 7314, 6120

Q: How to Find the LCM of 7314, 6120 ?

Least Common Multiple of 7314, 6120 = 7460280 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(7314, 6120) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 x 53 = 7460280.

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 7314, 6120 i.e. 7460280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7314, 6120 is 7460280.

LCM(7314, 6120) = 7460280

LCM of 7314, 6120

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

Least Common Multiple of 7314, 6120 by common division method
Least Common Multiple of 7314, 6120 with GCF Formula

Least Common Multiple of 7314,6120

Least Common Multiple (LCM) of 7314,6120 is 7460280

2	7314, 6120
3	3657, 3060
	1219, 1020

∴ So the LCM of the given numbers is 2 x 3 x 1219 x 1020 = 7460280

Least Common Multiple of 7314,6120 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 7314,6120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7314,6120) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(7314,6120) x common factors =6 x 1 = 6

LCM(7314,6120) = ( 7314 × 6120 ) / 6

LCM(7314,6120) = 44761680 / 6

LCM(7314,6120) = 7460280

∴ Least Common Multiple of 7314,6120 is 7460280

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 7314, 6120

1. What is the LCM of 7314, 6120?

Answer: LCM of 7314, 6120 is 7460280.

2. What are the Factors of 7460280?

Answer: Factors of 7460280 are . There are integers that are factors of 7460280

3. How to Find the LCM of 7314, 6120 ?

Least Common Multiple of 7314, 6120.

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(7314, 6120) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 x 53 = 7460280.