Least Common Multiple of 12/78, 91/74, 49/94, 88/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/78, 91/74, 49/94, 88/545 quickly i.e. 168168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/78, 91/74, 49/94, 88/545 is 168168.

LCM(12/78, 91/74, 49/94, 88/545) = 168168

LCM of 12/78, 91/74, 49/94, 88/545

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 12/78,91/74,49/94,88/545

Given numbers are 12/78,91/74,49/94,88/545

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 12,91,49,88

Least Common Multiple of Numerators i.e. LCM of 12,91,49,88 is 168168.

GCF of Denominators means GCF of 78,74,94,545 as per the given fractions.

GCF of 78,74,94,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,91,49,88

LCM of Fractions 12/78,91/74,49/94,88/545 is 168168

2 12, 91, 49, 88
2 6, 91, 49, 44
7 3, 91, 49, 22
3, 13, 7, 22

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 13 x 7 x 22 = 168168

Least Common Multiple of 12,91,49,88 with GCF Formula

Least Common Multiple of 12,91,49,88 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 12,91,49,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,91,49,88) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(12,91,49,88) x common factors =1 x 28 = 28

LCM(12,91,49,88) = ( 12 × 91 × 49 × 88 ) / 28

LCM(12,91,49,88) = 4708704 / 28

LCM(12,91,49,88) = 168168


Lets's calculate GCF of 78,74,94,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168168/1

Therefore the LCM of Fractions 12/78,91/74,49/94,88/545 is 168168

Greatest Common Factor of 78,74,94,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,74,94,545 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 94

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

1,2,47,94

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 78,74,94,545 . The biggest common factor number is the GCF number.
So the greatest common factor 78,74,94,545 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 12/78, 91/74, 49/94, 88/545

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 12/78, 91/74, 49/94, 88/545?

Answer: LCM of Numerators as per given numbers 12/78, 91/74, 49/94, 88/545 is

LCM of Numerators i.e. for 12,91,49,88 is 168168

GCF of denominators i.e. for 78,74,94,545 is 1.

Thus, LCM of Fractions is 168168.Finally, LCM of Fractions for 12/78, 91/74, 49/94, 88/545 is 168168.