Least Common Multiple of 25/618, 15/847, 715/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/618, 15/847, 715/828 quickly i.e. 10725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/618, 15/847, 715/828 is 10725.

LCM(25/618, 15/847, 715/828) = 10725

LCM of 25/618, 15/847, 715/828

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 25/618,15/847,715/828

Given numbers are 25/618,15/847,715/828

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 25,15,715

Least Common Multiple of Numerators i.e. LCM of 25,15,715 is 10725.

GCF of Denominators means GCF of 618,847,828 as per the given fractions.

GCF of 618,847,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,15,715

LCM of Fractions 25/618,15/847,715/828 is 10725

5 25, 15, 715
5, 3, 143

∴ So the LCM of the given numbers is 5 x 5 x 3 x 143 = 10725

Least Common Multiple of 25,15,715 with GCF Formula

Least Common Multiple of 25,15,715 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 25,15,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,15,715) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(25,15,715) x common factors =5 x 5 = 25

LCM(25,15,715) = ( 25 × 15 × 715 ) / 25

LCM(25,15,715) = 268125 / 25

LCM(25,15,715) = 10725


Lets's calculate GCF of 618,847,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10725/1

Therefore the LCM of Fractions 25/618,15/847,715/828 is 10725

Greatest Common Factor of 618,847,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,847,828 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 618,847,828 . The biggest common factor number is the GCF number.
So the greatest common factor 618,847,828 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 25/618, 15/847, 715/828

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 25/618, 15/847, 715/828?

Answer: LCM of Numerators as per given numbers 25/618, 15/847, 715/828 is

LCM of Numerators i.e. for 25,15,715 is 10725

GCF of denominators i.e. for 618,847,828 is 1.

Thus, LCM of Fractions is 10725.Finally, LCM of Fractions for 25/618, 15/847, 715/828 is 10725.