Least Common Multiple of 91/97, 11/32, 119/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/97, 11/32, 119/488 quickly i.e. 17017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/97, 11/32, 119/488 is 17017.

LCM(91/97, 11/32, 119/488) = 17017

LCM of 91/97, 11/32, 119/488

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 91/97,11/32,119/488

Given numbers are 91/97,11/32,119/488

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 91,11,119

Least Common Multiple of Numerators i.e. LCM of 91,11,119 is 17017.

GCF of Denominators means GCF of 97,32,488 as per the given fractions.

GCF of 97,32,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,11,119

LCM of Fractions 91/97,11/32,119/488 is 17017

7 91, 11, 119
13, 11, 17

∴ So the LCM of the given numbers is 7 x 13 x 11 x 17 = 17017

Least Common Multiple of 91,11,119 with GCF Formula

Least Common Multiple of 91,11,119 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 91,11,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,11,119) = 1

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

GCF(91,11,119) x common factors =1 x 7 = 7

LCM(91,11,119) = ( 91 × 11 × 119 ) / 7

LCM(91,11,119) = 119119 / 7

LCM(91,11,119) = 17017


Lets's calculate GCF of 97,32,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17017/1

Therefore the LCM of Fractions 91/97,11/32,119/488 is 17017

Greatest Common Factor of 97,32,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,32,488 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 97,32,488 . The biggest common factor number is the GCF number.
So the greatest common factor 97,32,488 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/97, 11/32, 119/488

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 91/97, 11/32, 119/488?

Answer: LCM of Numerators as per given numbers 91/97, 11/32, 119/488 is

LCM of Numerators i.e. for 91,11,119 is 17017

GCF of denominators i.e. for 97,32,488 is 1.

Thus, LCM of Fractions is 17017.Finally, LCM of Fractions for 91/97, 11/32, 119/488 is 17017.