Least Common Multiple of 115/52, 831/3276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 115/52, 831/3276 quickly i.e. 95565/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/52, 831/3276 is 95565/52.

LCM(115/52, 831/3276) = 95565/52

LCM of 115/52, 831/3276

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 115/52,831/3276

Given numbers are 115/52,831/3276

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 115,831

Least Common Multiple of Numerators i.e. LCM of 115,831 is 95565.

GCF of Denominators means GCF of 52,3276 as per the given fractions.

GCF of 52,3276 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,831

LCM of Fractions 115/52,831/3276 is 95565/52

Given numbers has no common factors except 1. So, there LCM is their product i.e 95565

Least Common Multiple of 115,831 with GCF Formula

Least Common Multiple of 115,831 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 115,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,831) = 1

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

GCF(115,831) x common factors =1 x 1 = 1

LCM(115,831) = ( 115 × 831 ) / 1

LCM(115,831) = 95565 / 1

LCM(115,831) = 95565


Lets's calculate GCF of 52,3276

2 52, 3276
2 26, 1638
13 13, 819
1, 63

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95565/52

Therefore the LCM of Fractions 115/52,831/3276 is 95565/52

Greatest Common Factor of 52,3276 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,3276 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 3276

List of positive integer factors of 3276 that divides 3276 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276

Greatest Common Factor

We found the factors 52,3276 . The biggest common factor number is the GCF number.
So the greatest common factor 52,3276 is 52.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 115/52, 831/3276

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 115/52, 831/3276?

Answer: LCM of Numerators as per given numbers 115/52, 831/3276 is

LCM of Numerators i.e. for 115,831 is 95565

GCF of denominators i.e. for 52,3276 is 52.

Thus, LCM of Fractions is 95565/52.Finally, LCM of Fractions for 115/52, 831/3276 is 95565/52.