Least Common Multiple of 506/512, 939/157, 703/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/512, 939/157, 703/855 quickly i.e. 334019202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/512, 939/157, 703/855 is 334019202.

LCM(506/512, 939/157, 703/855) = 334019202

LCM of 506/512, 939/157, 703/855

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 506/512,939/157,703/855

Given numbers are 506/512,939/157,703/855

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 506,939,703

Least Common Multiple of Numerators i.e. LCM of 506,939,703 is 334019202.

GCF of Denominators means GCF of 512,157,855 as per the given fractions.

GCF of 512,157,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,939,703

LCM of Fractions 506/512,939/157,703/855 is 334019202

Given numbers has no common factors except 1. So, there LCM is their product i.e 334019202

Least Common Multiple of 506,939,703 with GCF Formula

Least Common Multiple of 506,939,703 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 506,939,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,939,703) = 1

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

GCF(506,939,703) x common factors =1 x 1 = 1

LCM(506,939,703) = ( 506 × 939 × 703 ) / 1

LCM(506,939,703) = 334019202 / 1

LCM(506,939,703) = 334019202


Lets's calculate GCF of 512,157,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334019202/1

Therefore the LCM of Fractions 506/512,939/157,703/855 is 334019202

Greatest Common Factor of 512,157,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,157,855 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 512,157,855 . The biggest common factor number is the GCF number.
So the greatest common factor 512,157,855 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 506/512, 939/157, 703/855

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 506/512, 939/157, 703/855?

Answer: LCM of Numerators as per given numbers 506/512, 939/157, 703/855 is

LCM of Numerators i.e. for 506,939,703 is 334019202

GCF of denominators i.e. for 512,157,855 is 1.

Thus, LCM of Fractions is 334019202.Finally, LCM of Fractions for 506/512, 939/157, 703/855 is 334019202.