Least Common Multiple of 83/78, 52/98, 26/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/78, 52/98, 26/943 quickly i.e. 4316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/78, 52/98, 26/943 is 4316.

LCM(83/78, 52/98, 26/943) = 4316

LCM of 83/78, 52/98, 26/943

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 83/78,52/98,26/943

Given numbers are 83/78,52/98,26/943

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 83,52,26

Least Common Multiple of Numerators i.e. LCM of 83,52,26 is 4316.

GCF of Denominators means GCF of 78,98,943 as per the given fractions.

GCF of 78,98,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,52,26

LCM of Fractions 83/78,52/98,26/943 is 4316

2 83, 52, 26
13 83, 26, 13
83, 2, 1

∴ So the LCM of the given numbers is 2 x 13 x 83 x 2 x 1 = 4316

Least Common Multiple of 83,52,26 with GCF Formula

Least Common Multiple of 83,52,26 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 83,52,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,52,26) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(83,52,26) x common factors =1 x 26 = 26

LCM(83,52,26) = ( 83 × 52 × 26 ) / 26

LCM(83,52,26) = 112216 / 26

LCM(83,52,26) = 4316


Lets's calculate GCF of 78,98,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4316/1

Therefore the LCM of Fractions 83/78,52/98,26/943 is 4316

Greatest Common Factor of 78,98,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,98,943 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 78,98,943 . The biggest common factor number is the GCF number.
So the greatest common factor 78,98,943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/78, 52/98, 26/943

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 83/78, 52/98, 26/943?

Answer: LCM of Numerators as per given numbers 83/78, 52/98, 26/943 is

LCM of Numerators i.e. for 83,52,26 is 4316

GCF of denominators i.e. for 78,98,943 is 1.

Thus, LCM of Fractions is 4316.Finally, LCM of Fractions for 83/78, 52/98, 26/943 is 4316.