Least Common Multiple of 879/15, 397/58, 916/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 879/15, 397/58, 916/259 quickly i.e. 319650108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 879/15, 397/58, 916/259 is 319650108.

LCM(879/15, 397/58, 916/259) = 319650108

LCM of 879/15, 397/58, 916/259

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 879/15,397/58,916/259

Given numbers are 879/15,397/58,916/259

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 879,397,916

Least Common Multiple of Numerators i.e. LCM of 879,397,916 is 319650108.

GCF of Denominators means GCF of 15,58,259 as per the given fractions.

GCF of 15,58,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 879,397,916

LCM of Fractions 879/15,397/58,916/259 is 319650108

Given numbers has no common factors except 1. So, there LCM is their product i.e 319650108

Least Common Multiple of 879,397,916 with GCF Formula

Least Common Multiple of 879,397,916 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 879,397,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(879,397,916) = 1

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

GCF(879,397,916) x common factors =1 x 1 = 1

LCM(879,397,916) = ( 879 × 397 × 916 ) / 1

LCM(879,397,916) = 319650108 / 1

LCM(879,397,916) = 319650108


Lets's calculate GCF of 15,58,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319650108/1

Therefore the LCM of Fractions 879/15,397/58,916/259 is 319650108

Greatest Common Factor of 15,58,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,58,259 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

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 15,58,259 . The biggest common factor number is the GCF number.
So the greatest common factor 15,58,259 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 879/15, 397/58, 916/259

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 879/15, 397/58, 916/259?

Answer: LCM of Numerators as per given numbers 879/15, 397/58, 916/259 is

LCM of Numerators i.e. for 879,397,916 is 319650108

GCF of denominators i.e. for 15,58,259 is 1.

Thus, LCM of Fractions is 319650108.Finally, LCM of Fractions for 879/15, 397/58, 916/259 is 319650108.