Least Common Multiple of 91, 36, 99, 975

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 91, 36, 99, 975 i.e. 900900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 91, 36, 99, 975 is 900900.

LCM(91, 36, 99, 975) = 900900

LCM of 91, 36, 99, 975

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

LCM of:

Least Common Multiple of 91,36,99,975

Least Common Multiple (LCM) of 91,36,99,975 is 900900

3 91, 36, 99, 975
3 91, 12, 33, 325
13 91, 4, 11, 325
7, 4, 11, 25

∴ So the LCM of the given numbers is 3 x 3 x 13 x 7 x 4 x 11 x 25 = 900900

Least Common Multiple of 91,36,99,975 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 91,36,99,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,36,99,975) = 1

common factors(in case of two or more numbers have common factors) = 351

GCF(91,36,99,975) x common factors =1 x 351 = 351

LCM(91,36,99,975) = ( 91 × 36 × 99 × 975 ) / 351

LCM(91,36,99,975) = 316215900 / 351

LCM(91,36,99,975) = 900900

∴ Least Common Multiple of 91,36,99,975 is 900900

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 91, 36, 99, 975

1. What is the LCM of 91, 36, 99, 975?

Answer: LCM of 91, 36, 99, 975 is 900900.

2. What are the Factors of 900900?

Answer: Factors of 900900 are . There are integers that are factors of 900900

3. How to Find the LCM of 91, 36, 99, 975 ?

Least Common Multiple of 91, 36, 99, 975.

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(91, 36, 99, 975) = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 13 = 900900.