Least Common Multiple of 972/52, 886/94, 997/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/52, 886/94, 997/624 quickly i.e. 214652106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/52, 886/94, 997/624 is 214652106.

LCM(972/52, 886/94, 997/624) = 214652106

LCM of 972/52, 886/94, 997/624

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 972/52,886/94,997/624

Given numbers are 972/52,886/94,997/624

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 972,886,997

Least Common Multiple of Numerators i.e. LCM of 972,886,997 is 429304212.

GCF of Denominators means GCF of 52,94,624 as per the given fractions.

GCF of 52,94,624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,886,997

LCM of Fractions 972/52,886/94,997/624 is 214652106

2 972, 886, 997
486, 443, 997

∴ So the LCM of the given numbers is 2 x 486 x 443 x 997 = 429304212

Least Common Multiple of 972,886,997 with GCF Formula

Least Common Multiple of 972,886,997 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 972,886,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,886,997) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(972,886,997) x common factors =1 x 2 = 2

LCM(972,886,997) = ( 972 × 886 × 997 ) / 2

LCM(972,886,997) = 858608424 / 2

LCM(972,886,997) = 429304212


Lets's calculate GCF of 52,94,624

2 52, 94, 624
26, 47, 312

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429304212/2

Therefore the LCM of Fractions 972/52,886/94,997/624 is 214652106

Greatest Common Factor of 52,94,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,94,624 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 52,94,624 . The biggest common factor number is the GCF number.
So the greatest common factor 52,94,624 is 2.


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 972/52, 886/94, 997/624

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 972/52, 886/94, 997/624?

Answer: LCM of Numerators as per given numbers 972/52, 886/94, 997/624 is

LCM of Numerators i.e. for 972,886,997 is 429304212

GCF of denominators i.e. for 52,94,624 is 2.

Thus, LCM of Fractions is 214652106.Finally, LCM of Fractions for 972/52, 886/94, 997/624 is 214652106.