Least Common Multiple of 564/41, 772/51, 521/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/41, 772/51, 521/940 quickly i.e. 56711892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/41, 772/51, 521/940 is 56711892.

LCM(564/41, 772/51, 521/940) = 56711892

LCM of 564/41, 772/51, 521/940

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 564/41,772/51,521/940

Given numbers are 564/41,772/51,521/940

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 564,772,521

Least Common Multiple of Numerators i.e. LCM of 564,772,521 is 56711892.

GCF of Denominators means GCF of 41,51,940 as per the given fractions.

GCF of 41,51,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,772,521

LCM of Fractions 564/41,772/51,521/940 is 56711892

2 564, 772, 521
2 282, 386, 521
141, 193, 521

∴ So the LCM of the given numbers is 2 x 2 x 141 x 193 x 521 = 56711892

Least Common Multiple of 564,772,521 with GCF Formula

Least Common Multiple of 564,772,521 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 564,772,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,772,521) = 1

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

GCF(564,772,521) x common factors =1 x 4 = 4

LCM(564,772,521) = ( 564 × 772 × 521 ) / 4

LCM(564,772,521) = 226847568 / 4

LCM(564,772,521) = 56711892


Lets's calculate GCF of 41,51,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56711892/1

Therefore the LCM of Fractions 564/41,772/51,521/940 is 56711892

Greatest Common Factor of 41,51,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,51,940 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 41,51,940 . The biggest common factor number is the GCF number.
So the greatest common factor 41,51,940 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 564/41, 772/51, 521/940

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 564/41, 772/51, 521/940?

Answer: LCM of Numerators as per given numbers 564/41, 772/51, 521/940 is

LCM of Numerators i.e. for 564,772,521 is 56711892

GCF of denominators i.e. for 41,51,940 is 1.

Thus, LCM of Fractions is 56711892.Finally, LCM of Fractions for 564/41, 772/51, 521/940 is 56711892.