Least Common Multiple of 536, 925, 308, 470, 756

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 536, 925, 308, 470, 756 i.e. 48446105400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 536, 925, 308, 470, 756 is 48446105400.

LCM(536, 925, 308, 470, 756) = 48446105400

LCM of 536, 925, 308, 470, 756

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

LCM of:

Least Common Multiple of 536,925,308,470,756

Least Common Multiple (LCM) of 536,925,308,470,756 is 48446105400

2 536, 925, 308, 470, 756
2 268, 925, 154, 235, 378
5 134, 925, 77, 235, 189
7 134, 185, 77, 47, 189
134, 185, 11, 47, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 134 x 185 x 11 x 47 x 27 = 48446105400

Least Common Multiple of 536,925,308,470,756 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 536,925,308,470,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,925,308,470,756) = 1

common factors(in case of two or more numbers have common factors) = 1120

GCF(536,925,308,470,756) x common factors =1 x 1120 = 1120

LCM(536,925,308,470,756) = ( 536 × 925 × 308 × 470 × 756 ) / 1120

LCM(536,925,308,470,756) = 54259638048000 / 1120

LCM(536,925,308,470,756) = 48446105400

∴ Least Common Multiple of 536,925,308,470,756 is 48446105400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 536, 925, 308, 470, 756

1. What is the LCM of 536, 925, 308, 470, 756?

Answer: LCM of 536, 925, 308, 470, 756 is 48446105400.

2. What are the Factors of 48446105400?

Answer: Factors of 48446105400 are . There are integers that are factors of 48446105400

3. How to Find the LCM of 536, 925, 308, 470, 756 ?

Least Common Multiple of 536, 925, 308, 470, 756.

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(536, 925, 308, 470, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 37 x 47 x 67 = 48446105400.