Least Common Multiple of 76/13, 68/27, 421/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/13, 68/27, 421/716 quickly i.e. 543932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/13, 68/27, 421/716 is 543932.

LCM(76/13, 68/27, 421/716) = 543932

LCM of 76/13, 68/27, 421/716

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 76/13,68/27,421/716

Given numbers are 76/13,68/27,421/716

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 76,68,421

Least Common Multiple of Numerators i.e. LCM of 76,68,421 is 543932.

GCF of Denominators means GCF of 13,27,716 as per the given fractions.

GCF of 13,27,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,68,421

LCM of Fractions 76/13,68/27,421/716 is 543932

2 76, 68, 421
2 38, 34, 421
19, 17, 421

∴ So the LCM of the given numbers is 2 x 2 x 19 x 17 x 421 = 543932

Least Common Multiple of 76,68,421 with GCF Formula

Least Common Multiple of 76,68,421 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 76,68,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,68,421) = 1

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

GCF(76,68,421) x common factors =1 x 4 = 4

LCM(76,68,421) = ( 76 × 68 × 421 ) / 4

LCM(76,68,421) = 2175728 / 4

LCM(76,68,421) = 543932


Lets's calculate GCF of 13,27,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543932/1

Therefore the LCM of Fractions 76/13,68/27,421/716 is 543932

Greatest Common Factor of 13,27,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,27,716 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 27

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

1,3,9,27

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 13,27,716 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,716 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 76/13, 68/27, 421/716

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 76/13, 68/27, 421/716?

Answer: LCM of Numerators as per given numbers 76/13, 68/27, 421/716 is

LCM of Numerators i.e. for 76,68,421 is 543932

GCF of denominators i.e. for 13,27,716 is 1.

Thus, LCM of Fractions is 543932.Finally, LCM of Fractions for 76/13, 68/27, 421/716 is 543932.