Least Common Multiple of 21/38, 687/48, 413/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/38, 687/48, 413/707 quickly i.e. 283731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/38, 687/48, 413/707 is 283731.

LCM(21/38, 687/48, 413/707) = 283731

LCM of 21/38, 687/48, 413/707

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 21/38,687/48,413/707

Given numbers are 21/38,687/48,413/707

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 21,687,413

Least Common Multiple of Numerators i.e. LCM of 21,687,413 is 283731.

GCF of Denominators means GCF of 38,48,707 as per the given fractions.

GCF of 38,48,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,687,413

LCM of Fractions 21/38,687/48,413/707 is 283731

3 21, 687, 413
7 7, 229, 413
1, 229, 59

∴ So the LCM of the given numbers is 3 x 7 x 1 x 229 x 59 = 283731

Least Common Multiple of 21,687,413 with GCF Formula

Least Common Multiple of 21,687,413 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 21,687,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,687,413) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,687,413) x common factors =1 x 21 = 21

LCM(21,687,413) = ( 21 × 687 × 413 ) / 21

LCM(21,687,413) = 5958351 / 21

LCM(21,687,413) = 283731


Lets's calculate GCF of 38,48,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283731/1

Therefore the LCM of Fractions 21/38,687/48,413/707 is 283731

Greatest Common Factor of 38,48,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,48,707 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 38,48,707 . The biggest common factor number is the GCF number.
So the greatest common factor 38,48,707 is 1.


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 21/38, 687/48, 413/707

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 21/38, 687/48, 413/707?

Answer: LCM of Numerators as per given numbers 21/38, 687/48, 413/707 is

LCM of Numerators i.e. for 21,687,413 is 283731

GCF of denominators i.e. for 38,48,707 is 1.

Thus, LCM of Fractions is 283731.Finally, LCM of Fractions for 21/38, 687/48, 413/707 is 283731.