Least Common Multiple of 1878/21, 3953/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1878/21, 3953/687 quickly i.e. 2474578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1878/21, 3953/687 is 2474578.

LCM(1878/21, 3953/687) = 2474578

LCM of 1878/21, 3953/687

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 1878/21,3953/687

Given numbers are 1878/21,3953/687

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 1878,3953

Least Common Multiple of Numerators i.e. LCM of 1878,3953 is 7423734.

GCF of Denominators means GCF of 21,687 as per the given fractions.

GCF of 21,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1878,3953

LCM of Fractions 1878/21,3953/687 is 2474578

Given numbers has no common factors except 1. So, there LCM is their product i.e 7423734

Least Common Multiple of 1878,3953 with GCF Formula

Least Common Multiple of 1878,3953 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 1878,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1878,3953) = 1

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

GCF(1878,3953) x common factors =1 x 1 = 1

LCM(1878,3953) = ( 1878 × 3953 ) / 1

LCM(1878,3953) = 7423734 / 1

LCM(1878,3953) = 7423734


Lets's calculate GCF of 21,687

3 21, 687
7, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7423734/3

Therefore the LCM of Fractions 1878/21,3953/687 is 2474578

Greatest Common Factor of 21,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,687 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 21,687 . The biggest common factor number is the GCF number.
So the greatest common factor 21,687 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 1878/21, 3953/687

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 1878/21, 3953/687?

Answer: LCM of Numerators as per given numbers 1878/21, 3953/687 is

LCM of Numerators i.e. for 1878,3953 is 7423734

GCF of denominators i.e. for 21,687 is 3.

Thus, LCM of Fractions is 2474578.Finally, LCM of Fractions for 1878/21, 3953/687 is 2474578.