Least Common Multiple of 111/74, 349/97, 131/95

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 111/74, 349/97, 131/95 quickly i.e. 5074809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/74, 349/97, 131/95 is 5074809.

LCM(111/74, 349/97, 131/95) = 5074809

LCM of 111/74, 349/97, 131/95

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 111/74,349/97,131/95

Given numbers are 111/74,349/97,131/95

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 111,349,131

Least Common Multiple of Numerators i.e. LCM of 111,349,131 is 5074809.

GCF of Denominators means GCF of 74,97,95 as per the given fractions.

GCF of 74,97,95 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,349,131

LCM of Fractions 111/74,349/97,131/95 is 5074809

Given numbers has no common factors except 1. So, there LCM is their product i.e 5074809

Least Common Multiple of 111,349,131 with GCF Formula

Least Common Multiple of 111,349,131 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 111,349,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,349,131) = 1

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

GCF(111,349,131) x common factors =1 x 1 = 1

LCM(111,349,131) = ( 111 × 349 × 131 ) / 1

LCM(111,349,131) = 5074809 / 1

LCM(111,349,131) = 5074809


Lets's calculate GCF of 74,97,95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5074809/1

Therefore the LCM of Fractions 111/74,349/97,131/95 is 5074809

Greatest Common Factor of 74,97,95 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,97,95 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors 74,97,95 . The biggest common factor number is the GCF number.
So the greatest common factor 74,97,95 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 111/74, 349/97, 131/95

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 111/74, 349/97, 131/95?

Answer: LCM of Numerators as per given numbers 111/74, 349/97, 131/95 is

LCM of Numerators i.e. for 111,349,131 is 5074809

GCF of denominators i.e. for 74,97,95 is 1.

Thus, LCM of Fractions is 5074809.Finally, LCM of Fractions for 111/74, 349/97, 131/95 is 5074809.