Least Common Multiple of 1401/861, 2638/4767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1401/861, 2638/4767 quickly i.e. 3695838/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1401/861, 2638/4767 is 3695838/21.

LCM(1401/861, 2638/4767) = 3695838/21

LCM of 1401/861, 2638/4767

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 1401/861,2638/4767

Given numbers are 1401/861,2638/4767

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 1401,2638

Least Common Multiple of Numerators i.e. LCM of 1401,2638 is 3695838.

GCF of Denominators means GCF of 861,4767 as per the given fractions.

GCF of 861,4767 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1401,2638

LCM of Fractions 1401/861,2638/4767 is 3695838/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 3695838

Least Common Multiple of 1401,2638 with GCF Formula

Least Common Multiple of 1401,2638 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 1401,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1401,2638) = 1

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

GCF(1401,2638) x common factors =1 x 1 = 1

LCM(1401,2638) = ( 1401 × 2638 ) / 1

LCM(1401,2638) = 3695838 / 1

LCM(1401,2638) = 3695838


Lets's calculate GCF of 861,4767

3 861, 4767
7 287, 1589
41, 227

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3695838/21

Therefore the LCM of Fractions 1401/861,2638/4767 is 3695838/21

Greatest Common Factor of 861,4767 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,4767 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 4767

List of positive integer factors of 4767 that divides 4767 without a remainder.

1,3,7,21,227,681,1589,4767

Greatest Common Factor

We found the factors 861,4767 . The biggest common factor number is the GCF number.
So the greatest common factor 861,4767 is 21.


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 1401/861, 2638/4767

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 1401/861, 2638/4767?

Answer: LCM of Numerators as per given numbers 1401/861, 2638/4767 is

LCM of Numerators i.e. for 1401,2638 is 3695838

GCF of denominators i.e. for 861,4767 is 21.

Thus, LCM of Fractions is 3695838/21.Finally, LCM of Fractions for 1401/861, 2638/4767 is 3695838/21.