Least Common Multiple of 317/256, 1200/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/256, 1200/502 quickly i.e. 190200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/256, 1200/502 is 190200.

LCM(317/256, 1200/502) = 190200

LCM of 317/256, 1200/502

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 317/256,1200/502

Given numbers are 317/256,1200/502

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 317,1200

Least Common Multiple of Numerators i.e. LCM of 317,1200 is 380400.

GCF of Denominators means GCF of 256,502 as per the given fractions.

GCF of 256,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,1200

LCM of Fractions 317/256,1200/502 is 190200

Given numbers has no common factors except 1. So, there LCM is their product i.e 380400

Least Common Multiple of 317,1200 with GCF Formula

Least Common Multiple of 317,1200 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 317,1200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,1200) = 1

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

GCF(317,1200) x common factors =1 x 1 = 1

LCM(317,1200) = ( 317 × 1200 ) / 1

LCM(317,1200) = 380400 / 1

LCM(317,1200) = 380400


Lets's calculate GCF of 256,502

2 256, 502
128, 251

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380400/2

Therefore the LCM of Fractions 317/256,1200/502 is 190200

Greatest Common Factor of 256,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,502 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

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

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 256,502 . The biggest common factor number is the GCF number.
So the greatest common factor 256,502 is 2.


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 317/256, 1200/502

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 317/256, 1200/502?

Answer: LCM of Numerators as per given numbers 317/256, 1200/502 is

LCM of Numerators i.e. for 317,1200 is 380400

GCF of denominators i.e. for 256,502 is 2.

Thus, LCM of Fractions is 190200.Finally, LCM of Fractions for 317/256, 1200/502 is 190200.