Least Common Multiple of 5/79, 1/49, 77/44, 91/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/79, 1/49, 77/44, 91/429 quickly i.e. 5005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/79, 1/49, 77/44, 91/429 is 5005.

LCM(5/79, 1/49, 77/44, 91/429) = 5005

LCM of 5/79, 1/49, 77/44, 91/429

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 5/79,1/49,77/44,91/429

Given numbers are 5/79,1/49,77/44,91/429

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 5,1,77,91

Least Common Multiple of Numerators i.e. LCM of 5,1,77,91 is 5005.

GCF of Denominators means GCF of 79,49,44,429 as per the given fractions.

GCF of 79,49,44,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,1,77,91

LCM of Fractions 5/79,1/49,77/44,91/429 is 5005

7 5, 1, 77, 91
5, 1, 11, 13

∴ So the LCM of the given numbers is 7 x 5 x 1 x 11 x 13 = 5005

Least Common Multiple of 5,1,77,91 with GCF Formula

Least Common Multiple of 5,1,77,91 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 5,1,77,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,1,77,91) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(5,1,77,91) x common factors =1 x 7 = 7

LCM(5,1,77,91) = ( 5 × 1 × 77 × 91 ) / 7

LCM(5,1,77,91) = 35035 / 7

LCM(5,1,77,91) = 5005


Lets's calculate GCF of 79,49,44,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5005/1

Therefore the LCM of Fractions 5/79,1/49,77/44,91/429 is 5005

Greatest Common Factor of 79,49,44,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,49,44,429 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 79,49,44,429 . The biggest common factor number is the GCF number.
So the greatest common factor 79,49,44,429 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 5/79, 1/49, 77/44, 91/429

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 5/79, 1/49, 77/44, 91/429?

Answer: LCM of Numerators as per given numbers 5/79, 1/49, 77/44, 91/429 is

LCM of Numerators i.e. for 5,1,77,91 is 5005

GCF of denominators i.e. for 79,49,44,429 is 1.

Thus, LCM of Fractions is 5005.Finally, LCM of Fractions for 5/79, 1/49, 77/44, 91/429 is 5005.