Least Common Multiple of 240/17, 757/5304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/17, 757/5304 quickly i.e. 181680/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/17, 757/5304 is 181680/17.

LCM(240/17, 757/5304) = 181680/17

LCM of 240/17, 757/5304

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 240/17,757/5304

Given numbers are 240/17,757/5304

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 240,757

Least Common Multiple of Numerators i.e. LCM of 240,757 is 181680.

GCF of Denominators means GCF of 17,5304 as per the given fractions.

GCF of 17,5304 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,757

LCM of Fractions 240/17,757/5304 is 181680/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 181680

Least Common Multiple of 240,757 with GCF Formula

Least Common Multiple of 240,757 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 240,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,757) = 1

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

GCF(240,757) x common factors =1 x 1 = 1

LCM(240,757) = ( 240 × 757 ) / 1

LCM(240,757) = 181680 / 1

LCM(240,757) = 181680


Lets's calculate GCF of 17,5304

17 17, 5304
1, 312

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181680/17

Therefore the LCM of Fractions 240/17,757/5304 is 181680/17

Greatest Common Factor of 17,5304 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5304 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 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Greatest Common Factor

We found the factors 17,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5304 is 17.


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 240/17, 757/5304

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 240/17, 757/5304?

Answer: LCM of Numerators as per given numbers 240/17, 757/5304 is

LCM of Numerators i.e. for 240,757 is 181680

GCF of denominators i.e. for 17,5304 is 17.

Thus, LCM of Fractions is 181680/17.Finally, LCM of Fractions for 240/17, 757/5304 is 181680/17.