Least Common Multiple of 772/92, 564/71, 481/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/92, 564/71, 481/42 quickly i.e. 52357812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/92, 564/71, 481/42 is 52357812.

LCM(772/92, 564/71, 481/42) = 52357812

LCM of 772/92, 564/71, 481/42

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 772/92,564/71,481/42

Given numbers are 772/92,564/71,481/42

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 772,564,481

Least Common Multiple of Numerators i.e. LCM of 772,564,481 is 52357812.

GCF of Denominators means GCF of 92,71,42 as per the given fractions.

GCF of 92,71,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,564,481

LCM of Fractions 772/92,564/71,481/42 is 52357812

2 772, 564, 481
2 386, 282, 481
193, 141, 481

∴ So the LCM of the given numbers is 2 x 2 x 193 x 141 x 481 = 52357812

Least Common Multiple of 772,564,481 with GCF Formula

Least Common Multiple of 772,564,481 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 772,564,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,564,481) = 1

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

GCF(772,564,481) x common factors =1 x 4 = 4

LCM(772,564,481) = ( 772 × 564 × 481 ) / 4

LCM(772,564,481) = 209431248 / 4

LCM(772,564,481) = 52357812


Lets's calculate GCF of 92,71,42

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52357812/1

Therefore the LCM of Fractions 772/92,564/71,481/42 is 52357812

Greatest Common Factor of 92,71,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,71,42 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 92,71,42 . The biggest common factor number is the GCF number.
So the greatest common factor 92,71,42 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 772/92, 564/71, 481/42

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 772/92, 564/71, 481/42?

Answer: LCM of Numerators as per given numbers 772/92, 564/71, 481/42 is

LCM of Numerators i.e. for 772,564,481 is 52357812

GCF of denominators i.e. for 92,71,42 is 1.

Thus, LCM of Fractions is 52357812.Finally, LCM of Fractions for 772/92, 564/71, 481/42 is 52357812.