Least Common Multiple of 25/117, 6894/5228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/117, 6894/5228 quickly i.e. 172350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/117, 6894/5228 is 172350.

LCM(25/117, 6894/5228) = 172350

LCM of 25/117, 6894/5228

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 25/117,6894/5228

Given numbers are 25/117,6894/5228

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 25,6894

Least Common Multiple of Numerators i.e. LCM of 25,6894 is 172350.

GCF of Denominators means GCF of 117,5228 as per the given fractions.

GCF of 117,5228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,6894

LCM of Fractions 25/117,6894/5228 is 172350

Given numbers has no common factors except 1. So, there LCM is their product i.e 172350

Least Common Multiple of 25,6894 with GCF Formula

Least Common Multiple of 25,6894 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 25,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,6894) = 1

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

GCF(25,6894) x common factors =1 x 1 = 1

LCM(25,6894) = ( 25 × 6894 ) / 1

LCM(25,6894) = 172350 / 1

LCM(25,6894) = 172350


Lets's calculate GCF of 117,5228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172350/1

Therefore the LCM of Fractions 25/117,6894/5228 is 172350

Greatest Common Factor of 117,5228 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,5228 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1,2,4,1307,2614,5228

Greatest Common Factor

We found the factors 117,5228 . The biggest common factor number is the GCF number.
So the greatest common factor 117,5228 is 1.


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 25/117, 6894/5228

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 25/117, 6894/5228?

Answer: LCM of Numerators as per given numbers 25/117, 6894/5228 is

LCM of Numerators i.e. for 25,6894 is 172350

GCF of denominators i.e. for 117,5228 is 1.

Thus, LCM of Fractions is 172350.Finally, LCM of Fractions for 25/117, 6894/5228 is 172350.