Least Common Multiple of 94/97, 287/49, 100/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/97, 287/49, 100/259 quickly i.e. 1348900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/97, 287/49, 100/259 is 1348900.

LCM(94/97, 287/49, 100/259) = 1348900

LCM of 94/97, 287/49, 100/259

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 94/97,287/49,100/259

Given numbers are 94/97,287/49,100/259

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 94,287,100

Least Common Multiple of Numerators i.e. LCM of 94,287,100 is 1348900.

GCF of Denominators means GCF of 97,49,259 as per the given fractions.

GCF of 97,49,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,287,100

LCM of Fractions 94/97,287/49,100/259 is 1348900

2 94, 287, 100
47, 287, 50

∴ So the LCM of the given numbers is 2 x 47 x 287 x 50 = 1348900

Least Common Multiple of 94,287,100 with GCF Formula

Least Common Multiple of 94,287,100 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 94,287,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,287,100) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,287,100) x common factors =1 x 2 = 2

LCM(94,287,100) = ( 94 × 287 × 100 ) / 2

LCM(94,287,100) = 2697800 / 2

LCM(94,287,100) = 1348900


Lets's calculate GCF of 97,49,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1348900/1

Therefore the LCM of Fractions 94/97,287/49,100/259 is 1348900

Greatest Common Factor of 97,49,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,49,259 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 97,49,259 . The biggest common factor number is the GCF number.
So the greatest common factor 97,49,259 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 94/97, 287/49, 100/259

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 94/97, 287/49, 100/259?

Answer: LCM of Numerators as per given numbers 94/97, 287/49, 100/259 is

LCM of Numerators i.e. for 94,287,100 is 1348900

GCF of denominators i.e. for 97,49,259 is 1.

Thus, LCM of Fractions is 1348900.Finally, LCM of Fractions for 94/97, 287/49, 100/259 is 1348900.