Least Common Multiple of 2305/861, 7705/3939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2305/861, 7705/3939 quickly i.e. 3552005/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2305/861, 7705/3939 is 3552005/3.

LCM(2305/861, 7705/3939) = 3552005/3

LCM of 2305/861, 7705/3939

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 2305/861,7705/3939

Given numbers are 2305/861,7705/3939

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 2305,7705

Least Common Multiple of Numerators i.e. LCM of 2305,7705 is 3552005.

GCF of Denominators means GCF of 861,3939 as per the given fractions.

GCF of 861,3939 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2305,7705

LCM of Fractions 2305/861,7705/3939 is 3552005/3

5 2305, 7705
461, 1541

∴ So the LCM of the given numbers is 5 x 461 x 1541 = 3552005

Least Common Multiple of 2305,7705 with GCF Formula

Least Common Multiple of 2305,7705 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 2305,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2305,7705) = 5

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

GCF(2305,7705) x common factors =5 x 1 = 5

LCM(2305,7705) = ( 2305 × 7705 ) / 5

LCM(2305,7705) = 17760025 / 5

LCM(2305,7705) = 3552005


Lets's calculate GCF of 861,3939

3 861, 3939
287, 1313

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3552005/3

Therefore the LCM of Fractions 2305/861,7705/3939 is 3552005/3

Greatest Common Factor of 861,3939 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,3939 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1,3,13,39,101,303,1313,3939

Greatest Common Factor

We found the factors 861,3939 . The biggest common factor number is the GCF number.
So the greatest common factor 861,3939 is 3.


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 2305/861, 7705/3939

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 2305/861, 7705/3939?

Answer: LCM of Numerators as per given numbers 2305/861, 7705/3939 is

LCM of Numerators i.e. for 2305,7705 is 3552005

GCF of denominators i.e. for 861,3939 is 3.

Thus, LCM of Fractions is 3552005/3.Finally, LCM of Fractions for 2305/861, 7705/3939 is 3552005/3.