Least Common Multiple of 79/29, 56/14, 79/43, 74/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/29, 56/14, 79/43, 74/493 quickly i.e. 163688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/29, 56/14, 79/43, 74/493 is 163688.

LCM(79/29, 56/14, 79/43, 74/493) = 163688

LCM of 79/29, 56/14, 79/43, 74/493

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 79/29,56/14,79/43,74/493

Given numbers are 79/29,56/14,79/43,74/493

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 79,56,79,74

Least Common Multiple of Numerators i.e. LCM of 79,56,79,74 is 163688.

GCF of Denominators means GCF of 29,14,43,493 as per the given fractions.

GCF of 29,14,43,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,56,79,74

LCM of Fractions 79/29,56/14,79/43,74/493 is 163688

2 79, 56, 79, 74
79 79, 28, 79, 37
1, 28, 1, 37

∴ So the LCM of the given numbers is 2 x 79 x 1 x 28 x 1 x 37 = 163688

Least Common Multiple of 79,56,79,74 with GCF Formula

Least Common Multiple of 79,56,79,74 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 79,56,79,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,56,79,74) = 1

common factors(in case of two or more numbers have common factors) = 158

GCF(79,56,79,74) x common factors =1 x 158 = 158

LCM(79,56,79,74) = ( 79 × 56 × 79 × 74 ) / 158

LCM(79,56,79,74) = 25862704 / 158

LCM(79,56,79,74) = 163688


Lets's calculate GCF of 29,14,43,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163688/1

Therefore the LCM of Fractions 79/29,56/14,79/43,74/493 is 163688

Greatest Common Factor of 29,14,43,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,14,43,493 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 29,14,43,493 . The biggest common factor number is the GCF number.
So the greatest common factor 29,14,43,493 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 79/29, 56/14, 79/43, 74/493

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 79/29, 56/14, 79/43, 74/493?

Answer: LCM of Numerators as per given numbers 79/29, 56/14, 79/43, 74/493 is

LCM of Numerators i.e. for 79,56,79,74 is 163688

GCF of denominators i.e. for 29,14,43,493 is 1.

Thus, LCM of Fractions is 163688.Finally, LCM of Fractions for 79/29, 56/14, 79/43, 74/493 is 163688.