Least Common Multiple of 76/81, 949/80, 494/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/81, 949/80, 494/176 quickly i.e. 72124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/81, 949/80, 494/176 is 72124.

LCM(76/81, 949/80, 494/176) = 72124

LCM of 76/81, 949/80, 494/176

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 76/81,949/80,494/176

Given numbers are 76/81,949/80,494/176

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 76,949,494

Least Common Multiple of Numerators i.e. LCM of 76,949,494 is 72124.

GCF of Denominators means GCF of 81,80,176 as per the given fractions.

GCF of 81,80,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,949,494

LCM of Fractions 76/81,949/80,494/176 is 72124

2 76, 949, 494
13 38, 949, 247
19 38, 73, 19
2, 73, 1

∴ So the LCM of the given numbers is 2 x 13 x 19 x 2 x 73 x 1 = 72124

Least Common Multiple of 76,949,494 with GCF Formula

Least Common Multiple of 76,949,494 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 76,949,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,949,494) = 1

common factors(in case of two or more numbers have common factors) = 494

GCF(76,949,494) x common factors =1 x 494 = 494

LCM(76,949,494) = ( 76 × 949 × 494 ) / 494

LCM(76,949,494) = 35629256 / 494

LCM(76,949,494) = 72124


Lets's calculate GCF of 81,80,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72124/1

Therefore the LCM of Fractions 76/81,949/80,494/176 is 72124

Greatest Common Factor of 81,80,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,80,176 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 81,80,176 . The biggest common factor number is the GCF number.
So the greatest common factor 81,80,176 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 76/81, 949/80, 494/176

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 76/81, 949/80, 494/176?

Answer: LCM of Numerators as per given numbers 76/81, 949/80, 494/176 is

LCM of Numerators i.e. for 76,949,494 is 72124

GCF of denominators i.e. for 81,80,176 is 1.

Thus, LCM of Fractions is 72124.Finally, LCM of Fractions for 76/81, 949/80, 494/176 is 72124.