Least Common Multiple of 5040, 3456

Q: How to Find the LCM of 5040, 3456 ?

Least Common Multiple of 5040, 3456 = 120960 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(5040, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 120960.

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 5040, 3456 i.e. 120960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 5040, 3456 is 120960.

LCM(5040, 3456) = 120960

LCM of 5040, 3456

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

Least Common Multiple of 5040, 3456 by common division method
Least Common Multiple of 5040, 3456 with GCF Formula

Least Common Multiple of 5040,3456

Least Common Multiple (LCM) of 5040,3456 is 120960

2	5040, 3456
2	2520, 1728
2	1260, 864
2	630, 432
3	315, 216
3	105, 72
	35, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 35 x 24 = 120960

Least Common Multiple of 5040,3456 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 5040,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5040,3456) = 144

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

GCF(5040,3456) x common factors =144 x 1 = 144

LCM(5040,3456) = ( 5040 × 3456 ) / 144

LCM(5040,3456) = 17418240 / 144

LCM(5040,3456) = 120960

∴ Least Common Multiple of 5040,3456 is 120960

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 5040, 3456

1. What is the LCM of 5040, 3456?

Answer: LCM of 5040, 3456 is 120960.

2. What are the Factors of 120960?

Answer: Factors of 120960 are . There are integers that are factors of 120960

3. How to Find the LCM of 5040, 3456 ?

Least Common Multiple of 5040, 3456.

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(5040, 3456) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 = 120960.