Least Common Multiple of 115/767, 2438/3172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/767, 2438/3172 quickly i.e. 12190/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/767, 2438/3172 is 12190/13.

LCM(115/767, 2438/3172) = 12190/13

LCM of 115/767, 2438/3172

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 115/767,2438/3172

Given numbers are 115/767,2438/3172

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 115,2438

Least Common Multiple of Numerators i.e. LCM of 115,2438 is 12190.

GCF of Denominators means GCF of 767,3172 as per the given fractions.

GCF of 767,3172 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,2438

LCM of Fractions 115/767,2438/3172 is 12190/13

23 115, 2438
5, 106

∴ So the LCM of the given numbers is 23 x 5 x 106 = 12190

Least Common Multiple of 115,2438 with GCF Formula

Least Common Multiple of 115,2438 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 115,2438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,2438) = 23

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

GCF(115,2438) x common factors =23 x 1 = 23

LCM(115,2438) = ( 115 × 2438 ) / 23

LCM(115,2438) = 280370 / 23

LCM(115,2438) = 12190


Lets's calculate GCF of 767,3172

13 767, 3172
59, 244

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12190/13

Therefore the LCM of Fractions 115/767,2438/3172 is 12190/13

Greatest Common Factor of 767,3172 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,3172 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 767,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 767,3172 is 13.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 115/767, 2438/3172

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 115/767, 2438/3172?

Answer: LCM of Numerators as per given numbers 115/767, 2438/3172 is

LCM of Numerators i.e. for 115,2438 is 12190

GCF of denominators i.e. for 767,3172 is 13.

Thus, LCM of Fractions is 12190/13.Finally, LCM of Fractions for 115/767, 2438/3172 is 12190/13.