Least Common Multiple of 52/307, 970/65, 752/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/307, 970/65, 752/940 quickly i.e. 4741360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/307, 970/65, 752/940 is 4741360.

LCM(52/307, 970/65, 752/940) = 4741360

LCM of 52/307, 970/65, 752/940

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 52/307,970/65,752/940

Given numbers are 52/307,970/65,752/940

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 52,970,752

Least Common Multiple of Numerators i.e. LCM of 52,970,752 is 4741360.

GCF of Denominators means GCF of 307,65,940 as per the given fractions.

GCF of 307,65,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,970,752

LCM of Fractions 52/307,970/65,752/940 is 4741360

2 52, 970, 752
2 26, 485, 376
13, 485, 188

∴ So the LCM of the given numbers is 2 x 2 x 13 x 485 x 188 = 4741360

Least Common Multiple of 52,970,752 with GCF Formula

Least Common Multiple of 52,970,752 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 52,970,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,970,752) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(52,970,752) x common factors =2 x 4 = 8

LCM(52,970,752) = ( 52 × 970 × 752 ) / 8

LCM(52,970,752) = 37930880 / 8

LCM(52,970,752) = 4741360


Lets's calculate GCF of 307,65,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4741360/1

Therefore the LCM of Fractions 52/307,970/65,752/940 is 4741360

Greatest Common Factor of 307,65,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,65,940 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 307,65,940 . The biggest common factor number is the GCF number.
So the greatest common factor 307,65,940 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 52/307, 970/65, 752/940

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 52/307, 970/65, 752/940?

Answer: LCM of Numerators as per given numbers 52/307, 970/65, 752/940 is

LCM of Numerators i.e. for 52,970,752 is 4741360

GCF of denominators i.e. for 307,65,940 is 1.

Thus, LCM of Fractions is 4741360.Finally, LCM of Fractions for 52/307, 970/65, 752/940 is 4741360.