Least Common Multiple of 91/374, 9239/7104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/374, 9239/7104 quickly i.e. 840749/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/374, 9239/7104 is 840749/2.

LCM(91/374, 9239/7104) = 840749/2

LCM of 91/374, 9239/7104

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 91/374,9239/7104

Given numbers are 91/374,9239/7104

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 91,9239

Least Common Multiple of Numerators i.e. LCM of 91,9239 is 840749.

GCF of Denominators means GCF of 374,7104 as per the given fractions.

GCF of 374,7104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,9239

LCM of Fractions 91/374,9239/7104 is 840749/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 840749

Least Common Multiple of 91,9239 with GCF Formula

Least Common Multiple of 91,9239 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 91,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,9239) = 1

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

GCF(91,9239) x common factors =1 x 1 = 1

LCM(91,9239) = ( 91 × 9239 ) / 1

LCM(91,9239) = 840749 / 1

LCM(91,9239) = 840749


Lets's calculate GCF of 374,7104

2 374, 7104
187, 3552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 840749/2

Therefore the LCM of Fractions 91/374,9239/7104 is 840749/2

Greatest Common Factor of 374,7104 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,7104 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 7104

List of positive integer factors of 7104 that divides 7104 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104

Greatest Common Factor

We found the factors 374,7104 . The biggest common factor number is the GCF number.
So the greatest common factor 374,7104 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/374, 9239/7104

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 91/374, 9239/7104?

Answer: LCM of Numerators as per given numbers 91/374, 9239/7104 is

LCM of Numerators i.e. for 91,9239 is 840749

GCF of denominators i.e. for 374,7104 is 2.

Thus, LCM of Fractions is 840749/2.Finally, LCM of Fractions for 91/374, 9239/7104 is 840749/2.