Least Common Multiple of 7440, 8928

Q: How to Find the LCM of 7440, 8928 ?

Least Common Multiple of 7440, 8928 = 44640 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(7440, 8928) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 = 44640.

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 7440, 8928 i.e. 44640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 7440, 8928 is 44640.

LCM(7440, 8928) = 44640

LCM of 7440, 8928

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

Least Common Multiple of 7440, 8928 by common division method
Least Common Multiple of 7440, 8928 with GCF Formula

Least Common Multiple of 7440,8928

Least Common Multiple (LCM) of 7440,8928 is 44640

2	7440, 8928
2	3720, 4464
2	1860, 2232
2	930, 1116
3	465, 558
31	155, 186
	5, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 31 x 5 x 6 = 44640

Least Common Multiple of 7440,8928 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 7440,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7440,8928) = 1488

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

GCF(7440,8928) x common factors =1488 x 1 = 1488

LCM(7440,8928) = ( 7440 × 8928 ) / 1488

LCM(7440,8928) = 66424320 / 1488

LCM(7440,8928) = 44640

∴ Least Common Multiple of 7440,8928 is 44640

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 7440, 8928

1. What is the LCM of 7440, 8928?

Answer: LCM of 7440, 8928 is 44640.

2. What are the Factors of 44640?

Answer: Factors of 44640 are . There are integers that are factors of 44640

3. How to Find the LCM of 7440, 8928 ?

Least Common Multiple of 7440, 8928.

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(7440, 8928) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 = 44640.