Least Common Multiple of 750, 220, 640, 621, 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 750, 220, 640, 621, 576 i.e. 109296000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 750, 220, 640, 621, 576 is 109296000.

LCM(750, 220, 640, 621, 576) = 109296000

LCM of 750, 220, 640, 621, 576

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

LCM of:

Least Common Multiple of 750,220,640,621,576

Least Common Multiple (LCM) of 750,220,640,621,576 is 109296000

2 750, 220, 640, 621, 576
2 375, 110, 320, 621, 288
2 375, 55, 160, 621, 144
2 375, 55, 80, 621, 72
2 375, 55, 40, 621, 36
2 375, 55, 20, 621, 18
3 375, 55, 10, 621, 9
3 125, 55, 10, 207, 3
5 125, 55, 10, 69, 1
25, 11, 2, 69, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 25 x 11 x 2 x 69 x 1 = 109296000

Least Common Multiple of 750,220,640,621,576 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 750,220,640,621,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,220,640,621,576) = 1

common factors(in case of two or more numbers have common factors) = 345600

GCF(750,220,640,621,576) x common factors =1 x 345600 = 345600

LCM(750,220,640,621,576) = ( 750 × 220 × 640 × 621 × 576 ) / 345600

LCM(750,220,640,621,576) = 37772697600000 / 345600

LCM(750,220,640,621,576) = 109296000

∴ Least Common Multiple of 750,220,640,621,576 is 109296000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 750, 220, 640, 621, 576

1. What is the LCM of 750, 220, 640, 621, 576?

Answer: LCM of 750, 220, 640, 621, 576 is 109296000.

2. What are the Factors of 109296000?

Answer: Factors of 109296000 are . There are integers that are factors of 109296000

3. How to Find the LCM of 750, 220, 640, 621, 576 ?

Least Common Multiple of 750, 220, 640, 621, 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(750, 220, 640, 621, 576) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 11 x 23 = 109296000.