Least Common Multiple of 17/915, 15/292, 428/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/915, 15/292, 428/868 quickly i.e. 109140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/915, 15/292, 428/868 is 109140.

LCM(17/915, 15/292, 428/868) = 109140

LCM of 17/915, 15/292, 428/868

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 17/915,15/292,428/868

Given numbers are 17/915,15/292,428/868

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 17,15,428

Least Common Multiple of Numerators i.e. LCM of 17,15,428 is 109140.

GCF of Denominators means GCF of 915,292,868 as per the given fractions.

GCF of 915,292,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,15,428

LCM of Fractions 17/915,15/292,428/868 is 109140

Given numbers has no common factors except 1. So, there LCM is their product i.e 109140

Least Common Multiple of 17,15,428 with GCF Formula

Least Common Multiple of 17,15,428 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 17,15,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,15,428) = 1

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

GCF(17,15,428) x common factors =1 x 1 = 1

LCM(17,15,428) = ( 17 × 15 × 428 ) / 1

LCM(17,15,428) = 109140 / 1

LCM(17,15,428) = 109140


Lets's calculate GCF of 915,292,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109140/1

Therefore the LCM of Fractions 17/915,15/292,428/868 is 109140

Greatest Common Factor of 915,292,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,292,868 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 915,292,868 . The biggest common factor number is the GCF number.
So the greatest common factor 915,292,868 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 17/915, 15/292, 428/868

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 17/915, 15/292, 428/868?

Answer: LCM of Numerators as per given numbers 17/915, 15/292, 428/868 is

LCM of Numerators i.e. for 17,15,428 is 109140

GCF of denominators i.e. for 915,292,868 is 1.

Thus, LCM of Fractions is 109140.Finally, LCM of Fractions for 17/915, 15/292, 428/868 is 109140.