Least Common Multiple of 819/875, 760/951, 209/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/875, 760/951, 209/966 quickly i.e. 6846840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/875, 760/951, 209/966 is 6846840.

LCM(819/875, 760/951, 209/966) = 6846840

LCM of 819/875, 760/951, 209/966

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 819/875,760/951,209/966

Given numbers are 819/875,760/951,209/966

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 819,760,209

Least Common Multiple of Numerators i.e. LCM of 819,760,209 is 6846840.

GCF of Denominators means GCF of 875,951,966 as per the given fractions.

GCF of 875,951,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,760,209

LCM of Fractions 819/875,760/951,209/966 is 6846840

19 819, 760, 209
819, 40, 11

∴ So the LCM of the given numbers is 19 x 819 x 40 x 11 = 6846840

Least Common Multiple of 819,760,209 with GCF Formula

Least Common Multiple of 819,760,209 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 819,760,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,760,209) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(819,760,209) x common factors =1 x 19 = 19

LCM(819,760,209) = ( 819 × 760 × 209 ) / 19

LCM(819,760,209) = 130089960 / 19

LCM(819,760,209) = 6846840


Lets's calculate GCF of 875,951,966

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6846840/1

Therefore the LCM of Fractions 819/875,760/951,209/966 is 6846840

Greatest Common Factor of 875,951,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,951,966 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 875,951,966 . The biggest common factor number is the GCF number.
So the greatest common factor 875,951,966 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 819/875, 760/951, 209/966

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 819/875, 760/951, 209/966?

Answer: LCM of Numerators as per given numbers 819/875, 760/951, 209/966 is

LCM of Numerators i.e. for 819,760,209 is 6846840

GCF of denominators i.e. for 875,951,966 is 1.

Thus, LCM of Fractions is 6846840.Finally, LCM of Fractions for 819/875, 760/951, 209/966 is 6846840.