Least Common Multiple of 970/645, 613/876, 310/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 970/645, 613/876, 310/773 quickly i.e. 18432910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 970/645, 613/876, 310/773 is 18432910.

LCM(970/645, 613/876, 310/773) = 18432910

LCM of 970/645, 613/876, 310/773

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 970/645,613/876,310/773

Given numbers are 970/645,613/876,310/773

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 970,613,310

Least Common Multiple of Numerators i.e. LCM of 970,613,310 is 18432910.

GCF of Denominators means GCF of 645,876,773 as per the given fractions.

GCF of 645,876,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 970,613,310

LCM of Fractions 970/645,613/876,310/773 is 18432910

2 970, 613, 310
5 485, 613, 155
97, 613, 31

∴ So the LCM of the given numbers is 2 x 5 x 97 x 613 x 31 = 18432910

Least Common Multiple of 970,613,310 with GCF Formula

Least Common Multiple of 970,613,310 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 970,613,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,613,310) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(970,613,310) x common factors =1 x 10 = 10

LCM(970,613,310) = ( 970 × 613 × 310 ) / 10

LCM(970,613,310) = 184329100 / 10

LCM(970,613,310) = 18432910


Lets's calculate GCF of 645,876,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18432910/1

Therefore the LCM of Fractions 970/645,613/876,310/773 is 18432910

Greatest Common Factor of 645,876,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,876,773 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 645,876,773 . The biggest common factor number is the GCF number.
So the greatest common factor 645,876,773 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 970/645, 613/876, 310/773

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 970/645, 613/876, 310/773?

Answer: LCM of Numerators as per given numbers 970/645, 613/876, 310/773 is

LCM of Numerators i.e. for 970,613,310 is 18432910

GCF of denominators i.e. for 645,876,773 is 1.

Thus, LCM of Fractions is 18432910.Finally, LCM of Fractions for 970/645, 613/876, 310/773 is 18432910.