Least Common Multiple of 76/79, 71/29, 34/27, 534/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 76/79, 71/29, 34/27, 534/58 quickly i.e. 24492444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/79, 71/29, 34/27, 534/58 is 24492444.

LCM(76/79, 71/29, 34/27, 534/58) = 24492444

LCM of 76/79, 71/29, 34/27, 534/58

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 76/79,71/29,34/27,534/58

Given numbers are 76/79,71/29,34/27,534/58

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 76,71,34,534

Least Common Multiple of Numerators i.e. LCM of 76,71,34,534 is 24492444.

GCF of Denominators means GCF of 79,29,27,58 as per the given fractions.

GCF of 79,29,27,58 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,71,34,534

LCM of Fractions 76/79,71/29,34/27,534/58 is 24492444

2 76, 71, 34, 534
38, 71, 17, 267

∴ So the LCM of the given numbers is 2 x 38 x 71 x 17 x 267 = 24492444

Least Common Multiple of 76,71,34,534 with GCF Formula

Least Common Multiple of 76,71,34,534 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 76,71,34,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,71,34,534) = 1

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

GCF(76,71,34,534) x common factors =1 x 4 = 4

LCM(76,71,34,534) = ( 76 × 71 × 34 × 534 ) / 4

LCM(76,71,34,534) = 97969776 / 4

LCM(76,71,34,534) = 24492444


Lets's calculate GCF of 79,29,27,58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24492444/1

Therefore the LCM of Fractions 76/79,71/29,34/27,534/58 is 24492444

Greatest Common Factor of 79,29,27,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,29,27,58 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 29

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

1,29

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 79,29,27,58 . The biggest common factor number is the GCF number.
So the greatest common factor 79,29,27,58 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 76/79, 71/29, 34/27, 534/58

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 76/79, 71/29, 34/27, 534/58?

Answer: LCM of Numerators as per given numbers 76/79, 71/29, 34/27, 534/58 is

LCM of Numerators i.e. for 76,71,34,534 is 24492444

GCF of denominators i.e. for 79,29,27,58 is 1.

Thus, LCM of Fractions is 24492444.Finally, LCM of Fractions for 76/79, 71/29, 34/27, 534/58 is 24492444.