Least Common Multiple of 313/325, 4351/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 313/325, 4351/961 quickly i.e. 1361863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/325, 4351/961 is 1361863.

LCM(313/325, 4351/961) = 1361863

LCM of 313/325, 4351/961

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 313/325,4351/961

Given numbers are 313/325,4351/961

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 313,4351

Least Common Multiple of Numerators i.e. LCM of 313,4351 is 1361863.

GCF of Denominators means GCF of 325,961 as per the given fractions.

GCF of 325,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,4351

LCM of Fractions 313/325,4351/961 is 1361863

Given numbers has no common factors except 1. So, there LCM is their product i.e 1361863

Least Common Multiple of 313,4351 with GCF Formula

Least Common Multiple of 313,4351 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 313,4351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,4351) = 1

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

GCF(313,4351) x common factors =1 x 1 = 1

LCM(313,4351) = ( 313 × 4351 ) / 1

LCM(313,4351) = 1361863 / 1

LCM(313,4351) = 1361863


Lets's calculate GCF of 325,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1361863/1

Therefore the LCM of Fractions 313/325,4351/961 is 1361863

Greatest Common Factor of 325,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,961 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 325,961 . The biggest common factor number is the GCF number.
So the greatest common factor 325,961 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 313/325, 4351/961

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 313/325, 4351/961?

Answer: LCM of Numerators as per given numbers 313/325, 4351/961 is

LCM of Numerators i.e. for 313,4351 is 1361863

GCF of denominators i.e. for 325,961 is 1.

Thus, LCM of Fractions is 1361863.Finally, LCM of Fractions for 313/325, 4351/961 is 1361863.