Least Common Multiple of 56/77, 76/375, 494/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/77, 76/375, 494/101 quickly i.e. 13832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/77, 76/375, 494/101 is 13832.

LCM(56/77, 76/375, 494/101) = 13832

LCM of 56/77, 76/375, 494/101

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 56/77,76/375,494/101

Given numbers are 56/77,76/375,494/101

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 56,76,494

Least Common Multiple of Numerators i.e. LCM of 56,76,494 is 13832.

GCF of Denominators means GCF of 77,375,101 as per the given fractions.

GCF of 77,375,101 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,76,494

LCM of Fractions 56/77,76/375,494/101 is 13832

2 56, 76, 494
2 28, 38, 247
19 14, 19, 247
14, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 19 x 14 x 1 x 13 = 13832

Least Common Multiple of 56,76,494 with GCF Formula

Least Common Multiple of 56,76,494 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 56,76,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,76,494) = 2

common factors(in case of two or more numbers have common factors) = 76

GCF(56,76,494) x common factors =2 x 76 = 152

LCM(56,76,494) = ( 56 × 76 × 494 ) / 152

LCM(56,76,494) = 2102464 / 152

LCM(56,76,494) = 13832


Lets's calculate GCF of 77,375,101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13832/1

Therefore the LCM of Fractions 56/77,76/375,494/101 is 13832

Greatest Common Factor of 77,375,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,375,101 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Greatest Common Factor

We found the factors 77,375,101 . The biggest common factor number is the GCF number.
So the greatest common factor 77,375,101 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 56/77, 76/375, 494/101

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 56/77, 76/375, 494/101?

Answer: LCM of Numerators as per given numbers 56/77, 76/375, 494/101 is

LCM of Numerators i.e. for 56,76,494 is 13832

GCF of denominators i.e. for 77,375,101 is 1.

Thus, LCM of Fractions is 13832.Finally, LCM of Fractions for 56/77, 76/375, 494/101 is 13832.