Least Common Multiple of 617, 128, 574, 424, 820

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 617, 128, 574, 424, 820 i.e. 6006519680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 617, 128, 574, 424, 820 is 6006519680.

LCM(617, 128, 574, 424, 820) = 6006519680

LCM of 617, 128, 574, 424, 820

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

LCM of:

Least Common Multiple of 617,128,574,424,820

Least Common Multiple (LCM) of 617,128,574,424,820 is 6006519680

2 617, 128, 574, 424, 820
2 617, 64, 287, 212, 410
2 617, 32, 287, 106, 205
41 617, 16, 287, 53, 205
617, 16, 7, 53, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 617 x 16 x 7 x 53 x 5 = 6006519680

Least Common Multiple of 617,128,574,424,820 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 617,128,574,424,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,128,574,424,820) = 1

common factors(in case of two or more numbers have common factors) = 2624

GCF(617,128,574,424,820) x common factors =1 x 2624 = 2624

LCM(617,128,574,424,820) = ( 617 × 128 × 574 × 424 × 820 ) / 2624

LCM(617,128,574,424,820) = 15761107640320 / 2624

LCM(617,128,574,424,820) = 6006519680

∴ Least Common Multiple of 617,128,574,424,820 is 6006519680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 617, 128, 574, 424, 820

1. What is the LCM of 617, 128, 574, 424, 820?

Answer: LCM of 617, 128, 574, 424, 820 is 6006519680.

2. What are the Factors of 6006519680?

Answer: Factors of 6006519680 are . There are integers that are factors of 6006519680

3. How to Find the LCM of 617, 128, 574, 424, 820 ?

Least Common Multiple of 617, 128, 574, 424, 820.

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(617, 128, 574, 424, 820) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 41 x 53 x 617 = 6006519680.