Least Common Multiple of 512/30, 520/95, 307/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/30, 520/95, 307/507 quickly i.e. 10216960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/30, 520/95, 307/507 is 10216960.

LCM(512/30, 520/95, 307/507) = 10216960

LCM of 512/30, 520/95, 307/507

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 512/30,520/95,307/507

Given numbers are 512/30,520/95,307/507

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 512,520,307

Least Common Multiple of Numerators i.e. LCM of 512,520,307 is 10216960.

GCF of Denominators means GCF of 30,95,507 as per the given fractions.

GCF of 30,95,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,520,307

LCM of Fractions 512/30,520/95,307/507 is 10216960

2 512, 520, 307
2 256, 260, 307
2 128, 130, 307
64, 65, 307

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 65 x 307 = 10216960

Least Common Multiple of 512,520,307 with GCF Formula

Least Common Multiple of 512,520,307 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 512,520,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,520,307) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(512,520,307) x common factors =1 x 8 = 8

LCM(512,520,307) = ( 512 × 520 × 307 ) / 8

LCM(512,520,307) = 81735680 / 8

LCM(512,520,307) = 10216960


Lets's calculate GCF of 30,95,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10216960/1

Therefore the LCM of Fractions 512/30,520/95,307/507 is 10216960

Greatest Common Factor of 30,95,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,95,507 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 30,95,507 . The biggest common factor number is the GCF number.
So the greatest common factor 30,95,507 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 512/30, 520/95, 307/507

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 512/30, 520/95, 307/507?

Answer: LCM of Numerators as per given numbers 512/30, 520/95, 307/507 is

LCM of Numerators i.e. for 512,520,307 is 10216960

GCF of denominators i.e. for 30,95,507 is 1.

Thus, LCM of Fractions is 10216960.Finally, LCM of Fractions for 512/30, 520/95, 307/507 is 10216960.