Least Common Multiple of 500, 256, 122, 380, 780

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 500, 256, 122, 380, 780 i.e. 1446432000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 500, 256, 122, 380, 780 is 1446432000.

LCM(500, 256, 122, 380, 780) = 1446432000

LCM of 500, 256, 122, 380, 780

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

LCM of:

Least Common Multiple of 500,256,122,380,780

Least Common Multiple (LCM) of 500,256,122,380,780 is 1446432000

2 500, 256, 122, 380, 780
2 250, 128, 61, 190, 390
5 125, 64, 61, 95, 195
25, 64, 61, 19, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 64 x 61 x 19 x 39 = 1446432000

Least Common Multiple of 500,256,122,380,780 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 500,256,122,380,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,256,122,380,780) = 2

common factors(in case of two or more numbers have common factors) = 1600

GCF(500,256,122,380,780) x common factors =2 x 1600 = 3200

LCM(500,256,122,380,780) = ( 500 × 256 × 122 × 380 × 780 ) / 3200

LCM(500,256,122,380,780) = 4628582400000 / 3200

LCM(500,256,122,380,780) = 1446432000

∴ Least Common Multiple of 500,256,122,380,780 is 1446432000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 500, 256, 122, 380, 780

1. What is the LCM of 500, 256, 122, 380, 780?

Answer: LCM of 500, 256, 122, 380, 780 is 1446432000.

2. What are the Factors of 1446432000?

Answer: Factors of 1446432000 are . There are integers that are factors of 1446432000

3. How to Find the LCM of 500, 256, 122, 380, 780 ?

Least Common Multiple of 500, 256, 122, 380, 780.

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(500, 256, 122, 380, 780) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13 x 19 x 61 = 1446432000.