Least Common Multiple of 313/250, 341/756, 609/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/250, 341/756, 609/255 quickly i.e. 65000397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/250, 341/756, 609/255 is 65000397.

LCM(313/250, 341/756, 609/255) = 65000397

LCM of 313/250, 341/756, 609/255

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 313/250,341/756,609/255

Given numbers are 313/250,341/756,609/255

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 313,341,609

Least Common Multiple of Numerators i.e. LCM of 313,341,609 is 65000397.

GCF of Denominators means GCF of 250,756,255 as per the given fractions.

GCF of 250,756,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,341,609

LCM of Fractions 313/250,341/756,609/255 is 65000397

Given numbers has no common factors except 1. So, there LCM is their product i.e 65000397

Least Common Multiple of 313,341,609 with GCF Formula

Least Common Multiple of 313,341,609 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 313,341,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,341,609) = 1

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

GCF(313,341,609) x common factors =1 x 1 = 1

LCM(313,341,609) = ( 313 × 341 × 609 ) / 1

LCM(313,341,609) = 65000397 / 1

LCM(313,341,609) = 65000397


Lets's calculate GCF of 250,756,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65000397/1

Therefore the LCM of Fractions 313/250,341/756,609/255 is 65000397

Greatest Common Factor of 250,756,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,756,255 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 250,756,255 . The biggest common factor number is the GCF number.
So the greatest common factor 250,756,255 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 313/250, 341/756, 609/255

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 313/250, 341/756, 609/255?

Answer: LCM of Numerators as per given numbers 313/250, 341/756, 609/255 is

LCM of Numerators i.e. for 313,341,609 is 65000397

GCF of denominators i.e. for 250,756,255 is 1.

Thus, LCM of Fractions is 65000397.Finally, LCM of Fractions for 313/250, 341/756, 609/255 is 65000397.