Least Common Multiple of 25/60, 97/38, 530/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/60, 97/38, 530/747 quickly i.e. 257050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/60, 97/38, 530/747 is 257050.

LCM(25/60, 97/38, 530/747) = 257050

LCM of 25/60, 97/38, 530/747

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 25/60,97/38,530/747

Given numbers are 25/60,97/38,530/747

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 25,97,530

Least Common Multiple of Numerators i.e. LCM of 25,97,530 is 257050.

GCF of Denominators means GCF of 60,38,747 as per the given fractions.

GCF of 60,38,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,97,530

LCM of Fractions 25/60,97/38,530/747 is 257050

5 25, 97, 530
5, 97, 106

∴ So the LCM of the given numbers is 5 x 5 x 97 x 106 = 257050

Least Common Multiple of 25,97,530 with GCF Formula

Least Common Multiple of 25,97,530 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 25,97,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,97,530) = 1

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

GCF(25,97,530) x common factors =1 x 5 = 5

LCM(25,97,530) = ( 25 × 97 × 530 ) / 5

LCM(25,97,530) = 1285250 / 5

LCM(25,97,530) = 257050


Lets's calculate GCF of 60,38,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257050/1

Therefore the LCM of Fractions 25/60,97/38,530/747 is 257050

Greatest Common Factor of 60,38,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,38,747 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 60,38,747 . The biggest common factor number is the GCF number.
So the greatest common factor 60,38,747 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 25/60, 97/38, 530/747

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 25/60, 97/38, 530/747?

Answer: LCM of Numerators as per given numbers 25/60, 97/38, 530/747 is

LCM of Numerators i.e. for 25,97,530 is 257050

GCF of denominators i.e. for 60,38,747 is 1.

Thus, LCM of Fractions is 257050.Finally, LCM of Fractions for 25/60, 97/38, 530/747 is 257050.