Least Common Multiple of 975, 5785

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 975, 5785 i.e. 86775 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 5785 is 86775.

LCM(975, 5785) = 86775

LCM of 975, 5785

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

LCM of:

Least Common Multiple of 975,5785

Least Common Multiple (LCM) of 975,5785 is 86775

5 975, 5785
13 195, 1157
15, 89

∴ So the LCM of the given numbers is 5 x 13 x 15 x 89 = 86775

Least Common Multiple of 975,5785 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 975,5785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,5785) = 65

common factors(in case of two or more numbers have common factors) = 1

GCF(975,5785) x common factors =65 x 1 = 65

LCM(975,5785) = ( 975 × 5785 ) / 65

LCM(975,5785) = 5640375 / 65

LCM(975,5785) = 86775

∴ Least Common Multiple of 975,5785 is 86775

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 975, 5785

1. What is the LCM of 975, 5785?

Answer: LCM of 975, 5785 is 86775.

2. What are the Factors of 86775?

Answer: Factors of 86775 are . There are integers that are factors of 86775

3. How to Find the LCM of 975, 5785 ?

Least Common Multiple of 975, 5785.

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(975, 5785) = 3 x 5 x 5 x 13 x 89 = 86775.