Least Common Multiple of 15/895, 78/948, 113/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/895, 78/948, 113/259 quickly i.e. 44070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/895, 78/948, 113/259 is 44070.

LCM(15/895, 78/948, 113/259) = 44070

LCM of 15/895, 78/948, 113/259

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 15/895,78/948,113/259

Given numbers are 15/895,78/948,113/259

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 15,78,113

Least Common Multiple of Numerators i.e. LCM of 15,78,113 is 44070.

GCF of Denominators means GCF of 895,948,259 as per the given fractions.

GCF of 895,948,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,78,113

LCM of Fractions 15/895,78/948,113/259 is 44070

3 15, 78, 113
5, 26, 113

∴ So the LCM of the given numbers is 3 x 5 x 26 x 113 = 44070

Least Common Multiple of 15,78,113 with GCF Formula

Least Common Multiple of 15,78,113 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 15,78,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,78,113) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,78,113) x common factors =1 x 3 = 3

LCM(15,78,113) = ( 15 × 78 × 113 ) / 3

LCM(15,78,113) = 132210 / 3

LCM(15,78,113) = 44070


Lets's calculate GCF of 895,948,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44070/1

Therefore the LCM of Fractions 15/895,78/948,113/259 is 44070

Greatest Common Factor of 895,948,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,948,259 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

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 895,948,259 . The biggest common factor number is the GCF number.
So the greatest common factor 895,948,259 is 1.


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 15/895, 78/948, 113/259

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 15/895, 78/948, 113/259?

Answer: LCM of Numerators as per given numbers 15/895, 78/948, 113/259 is

LCM of Numerators i.e. for 15,78,113 is 44070

GCF of denominators i.e. for 895,948,259 is 1.

Thus, LCM of Fractions is 44070.Finally, LCM of Fractions for 15/895, 78/948, 113/259 is 44070.