Least Common Multiple of 251/17, 232/60, 523/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/17, 232/60, 523/939 quickly i.e. 30455336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/17, 232/60, 523/939 is 30455336.

LCM(251/17, 232/60, 523/939) = 30455336

LCM of 251/17, 232/60, 523/939

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 251/17,232/60,523/939

Given numbers are 251/17,232/60,523/939

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 251,232,523

Least Common Multiple of Numerators i.e. LCM of 251,232,523 is 30455336.

GCF of Denominators means GCF of 17,60,939 as per the given fractions.

GCF of 17,60,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,232,523

LCM of Fractions 251/17,232/60,523/939 is 30455336

Given numbers has no common factors except 1. So, there LCM is their product i.e 30455336

Least Common Multiple of 251,232,523 with GCF Formula

Least Common Multiple of 251,232,523 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 251,232,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,232,523) = 1

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

GCF(251,232,523) x common factors =1 x 1 = 1

LCM(251,232,523) = ( 251 × 232 × 523 ) / 1

LCM(251,232,523) = 30455336 / 1

LCM(251,232,523) = 30455336


Lets's calculate GCF of 17,60,939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30455336/1

Therefore the LCM of Fractions 251/17,232/60,523/939 is 30455336

Greatest Common Factor of 17,60,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,60,939 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

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 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 17,60,939 . The biggest common factor number is the GCF number.
So the greatest common factor 17,60,939 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 251/17, 232/60, 523/939

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 251/17, 232/60, 523/939?

Answer: LCM of Numerators as per given numbers 251/17, 232/60, 523/939 is

LCM of Numerators i.e. for 251,232,523 is 30455336

GCF of denominators i.e. for 17,60,939 is 1.

Thus, LCM of Fractions is 30455336.Finally, LCM of Fractions for 251/17, 232/60, 523/939 is 30455336.