Least Common Multiple of 972/646, 812/873, 557/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/646, 812/873, 557/953 quickly i.e. 109905012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/646, 812/873, 557/953 is 109905012.

LCM(972/646, 812/873, 557/953) = 109905012

LCM of 972/646, 812/873, 557/953

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 972/646,812/873,557/953

Given numbers are 972/646,812/873,557/953

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 972,812,557

Least Common Multiple of Numerators i.e. LCM of 972,812,557 is 109905012.

GCF of Denominators means GCF of 646,873,953 as per the given fractions.

GCF of 646,873,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,812,557

LCM of Fractions 972/646,812/873,557/953 is 109905012

2 972, 812, 557
2 486, 406, 557
243, 203, 557

∴ So the LCM of the given numbers is 2 x 2 x 243 x 203 x 557 = 109905012

Least Common Multiple of 972,812,557 with GCF Formula

Least Common Multiple of 972,812,557 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 972,812,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,812,557) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(972,812,557) x common factors =1 x 4 = 4

LCM(972,812,557) = ( 972 × 812 × 557 ) / 4

LCM(972,812,557) = 439620048 / 4

LCM(972,812,557) = 109905012


Lets's calculate GCF of 646,873,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109905012/1

Therefore the LCM of Fractions 972/646,812/873,557/953 is 109905012

Greatest Common Factor of 646,873,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,873,953 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 646,873,953 . The biggest common factor number is the GCF number.
So the greatest common factor 646,873,953 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 972/646, 812/873, 557/953

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 972/646, 812/873, 557/953?

Answer: LCM of Numerators as per given numbers 972/646, 812/873, 557/953 is

LCM of Numerators i.e. for 972,812,557 is 109905012

GCF of denominators i.e. for 646,873,953 is 1.

Thus, LCM of Fractions is 109905012.Finally, LCM of Fractions for 972/646, 812/873, 557/953 is 109905012.