Least Common Multiple of 91/72, 56/436, 773/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/72, 56/436, 773/114 quickly i.e. 281372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/72, 56/436, 773/114 is 281372.

LCM(91/72, 56/436, 773/114) = 281372

LCM of 91/72, 56/436, 773/114

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 91/72,56/436,773/114

Given numbers are 91/72,56/436,773/114

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 91,56,773

Least Common Multiple of Numerators i.e. LCM of 91,56,773 is 562744.

GCF of Denominators means GCF of 72,436,114 as per the given fractions.

GCF of 72,436,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,56,773

LCM of Fractions 91/72,56/436,773/114 is 281372

7 91, 56, 773
13, 8, 773

∴ So the LCM of the given numbers is 7 x 13 x 8 x 773 = 562744

Least Common Multiple of 91,56,773 with GCF Formula

Least Common Multiple of 91,56,773 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 91,56,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,56,773) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,56,773) x common factors =1 x 7 = 7

LCM(91,56,773) = ( 91 × 56 × 773 ) / 7

LCM(91,56,773) = 3939208 / 7

LCM(91,56,773) = 562744


Lets's calculate GCF of 72,436,114

2 72, 436, 114
36, 218, 57

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562744/2

Therefore the LCM of Fractions 91/72,56/436,773/114 is 281372

Greatest Common Factor of 72,436,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,436,114 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 72,436,114 . The biggest common factor number is the GCF number.
So the greatest common factor 72,436,114 is 2.


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 91/72, 56/436, 773/114

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 91/72, 56/436, 773/114?

Answer: LCM of Numerators as per given numbers 91/72, 56/436, 773/114 is

LCM of Numerators i.e. for 91,56,773 is 562744

GCF of denominators i.e. for 72,436,114 is 2.

Thus, LCM of Fractions is 281372.Finally, LCM of Fractions for 91/72, 56/436, 773/114 is 281372.