Least Common Multiple of 89, 80, 10, 576

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 89, 80, 10, 576 i.e. 256320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 89, 80, 10, 576 is 256320.

LCM(89, 80, 10, 576) = 256320

LCM of 89, 80, 10, 576

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

LCM of:

Least Common Multiple of 89,80,10,576

Least Common Multiple (LCM) of 89,80,10,576 is 256320

2 89, 80, 10, 576
2 89, 40, 5, 288
2 89, 20, 5, 144
2 89, 10, 5, 72
5 89, 5, 5, 36
89, 1, 1, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 89 x 1 x 1 x 36 = 256320

Least Common Multiple of 89,80,10,576 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,80,10,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,80,10,576) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(89,80,10,576) x common factors =1 x 160 = 160

LCM(89,80,10,576) = ( 89 × 80 × 10 × 576 ) / 160

LCM(89,80,10,576) = 41011200 / 160

LCM(89,80,10,576) = 256320

∴ Least Common Multiple of 89,80,10,576 is 256320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 89, 80, 10, 576

1. What is the LCM of 89, 80, 10, 576?

Answer: LCM of 89, 80, 10, 576 is 256320.

2. What are the Factors of 256320?

Answer: Factors of 256320 are . There are integers that are factors of 256320

3. How to Find the LCM of 89, 80, 10, 576 ?

Least Common Multiple of 89, 80, 10, 576.

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(89, 80, 10, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 89 = 256320.