Least Common Multiple of 91/362, 73/913, 523/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/362, 73/913, 523/904 quickly i.e. 3474289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/362, 73/913, 523/904 is 3474289.

LCM(91/362, 73/913, 523/904) = 3474289

LCM of 91/362, 73/913, 523/904

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 91/362,73/913,523/904

Given numbers are 91/362,73/913,523/904

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 91,73,523

Least Common Multiple of Numerators i.e. LCM of 91,73,523 is 3474289.

GCF of Denominators means GCF of 362,913,904 as per the given fractions.

GCF of 362,913,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,73,523

LCM of Fractions 91/362,73/913,523/904 is 3474289

Given numbers has no common factors except 1. So, there LCM is their product i.e 3474289

Least Common Multiple of 91,73,523 with GCF Formula

Least Common Multiple of 91,73,523 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 91,73,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,73,523) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(91,73,523) x common factors =1 x 1 = 1

LCM(91,73,523) = ( 91 × 73 × 523 ) / 1

LCM(91,73,523) = 3474289 / 1

LCM(91,73,523) = 3474289


Lets's calculate GCF of 362,913,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3474289/1

Therefore the LCM of Fractions 91/362,73/913,523/904 is 3474289

Greatest Common Factor of 362,913,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,913,904 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 362,913,904 . The biggest common factor number is the GCF number.
So the greatest common factor 362,913,904 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/362, 73/913, 523/904

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 91/362, 73/913, 523/904?

Answer: LCM of Numerators as per given numbers 91/362, 73/913, 523/904 is

LCM of Numerators i.e. for 91,73,523 is 3474289

GCF of denominators i.e. for 362,913,904 is 1.

Thus, LCM of Fractions is 3474289.Finally, LCM of Fractions for 91/362, 73/913, 523/904 is 3474289.