Least Common Multiple of 78/94, 12/43, 711/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/94, 12/43, 711/426 quickly i.e. 36972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/94, 12/43, 711/426 is 36972.

LCM(78/94, 12/43, 711/426) = 36972

LCM of 78/94, 12/43, 711/426

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 78/94,12/43,711/426

Given numbers are 78/94,12/43,711/426

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 78,12,711

Least Common Multiple of Numerators i.e. LCM of 78,12,711 is 36972.

GCF of Denominators means GCF of 94,43,426 as per the given fractions.

GCF of 94,43,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,12,711

LCM of Fractions 78/94,12/43,711/426 is 36972

2 78, 12, 711
3 39, 6, 711
13, 2, 237

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 237 = 36972

Least Common Multiple of 78,12,711 with GCF Formula

Least Common Multiple of 78,12,711 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 78,12,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,12,711) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(78,12,711) x common factors =3 x 6 = 18

LCM(78,12,711) = ( 78 × 12 × 711 ) / 18

LCM(78,12,711) = 665496 / 18

LCM(78,12,711) = 36972


Lets's calculate GCF of 94,43,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36972/1

Therefore the LCM of Fractions 78/94,12/43,711/426 is 36972

Greatest Common Factor of 94,43,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,43,426 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 43

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

1,43

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 94,43,426 . The biggest common factor number is the GCF number.
So the greatest common factor 94,43,426 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 78/94, 12/43, 711/426

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 78/94, 12/43, 711/426?

Answer: LCM of Numerators as per given numbers 78/94, 12/43, 711/426 is

LCM of Numerators i.e. for 78,12,711 is 36972

GCF of denominators i.e. for 94,43,426 is 1.

Thus, LCM of Fractions is 36972.Finally, LCM of Fractions for 78/94, 12/43, 711/426 is 36972.