Least Common Multiple of 5851/365, 3243/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5851/365, 3243/961 quickly i.e. 18974793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5851/365, 3243/961 is 18974793.

LCM(5851/365, 3243/961) = 18974793

LCM of 5851/365, 3243/961

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 5851/365,3243/961

Given numbers are 5851/365,3243/961

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 5851,3243

Least Common Multiple of Numerators i.e. LCM of 5851,3243 is 18974793.

GCF of Denominators means GCF of 365,961 as per the given fractions.

GCF of 365,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5851,3243

LCM of Fractions 5851/365,3243/961 is 18974793

Given numbers has no common factors except 1. So, there LCM is their product i.e 18974793

Least Common Multiple of 5851,3243 with GCF Formula

Least Common Multiple of 5851,3243 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 5851,3243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5851,3243) = 1

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

GCF(5851,3243) x common factors =1 x 1 = 1

LCM(5851,3243) = ( 5851 × 3243 ) / 1

LCM(5851,3243) = 18974793 / 1

LCM(5851,3243) = 18974793


Lets's calculate GCF of 365,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18974793/1

Therefore the LCM of Fractions 5851/365,3243/961 is 18974793

Greatest Common Factor of 365,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,961 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

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 365,961 . The biggest common factor number is the GCF number.
So the greatest common factor 365,961 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 5851/365, 3243/961

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 5851/365, 3243/961?

Answer: LCM of Numerators as per given numbers 5851/365, 3243/961 is

LCM of Numerators i.e. for 5851,3243 is 18974793

GCF of denominators i.e. for 365,961 is 1.

Thus, LCM of Fractions is 18974793.Finally, LCM of Fractions for 5851/365, 3243/961 is 18974793.