Least Common Multiple of 7104, 8640

Q: How to Find the LCM of 7104, 8640 ?

Least Common Multiple of 7104, 8640 = 319680 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(7104, 8640) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 37 = 319680.

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 7104, 8640 i.e. 319680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7104, 8640 is 319680.

LCM(7104, 8640) = 319680

LCM of 7104, 8640

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

Least Common Multiple of 7104, 8640 by common division method
Least Common Multiple of 7104, 8640 with GCF Formula

Least Common Multiple of 7104,8640

Least Common Multiple (LCM) of 7104,8640 is 319680

2	7104, 8640
2	3552, 4320
2	1776, 2160
2	888, 1080
2	444, 540
2	222, 270
3	111, 135
	37, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 45 = 319680

Least Common Multiple of 7104,8640 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 7104,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7104,8640) = 192

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

GCF(7104,8640) x common factors =192 x 1 = 192

LCM(7104,8640) = ( 7104 × 8640 ) / 192

LCM(7104,8640) = 61378560 / 192

LCM(7104,8640) = 319680

∴ Least Common Multiple of 7104,8640 is 319680

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 7104, 8640

1. What is the LCM of 7104, 8640?

Answer: LCM of 7104, 8640 is 319680.

2. What are the Factors of 319680?

Answer: Factors of 319680 are . There are integers that are factors of 319680

3. How to Find the LCM of 7104, 8640 ?

Least Common Multiple of 7104, 8640.

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(7104, 8640) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 37 = 319680.