Least Common Multiple of 4638/20, 6719/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4638/20, 6719/672 quickly i.e. 31162722/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4638/20, 6719/672 is 31162722/4.

LCM(4638/20, 6719/672) = 31162722/4

LCM of 4638/20, 6719/672

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 4638/20,6719/672

Given numbers are 4638/20,6719/672

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 4638,6719

Least Common Multiple of Numerators i.e. LCM of 4638,6719 is 31162722.

GCF of Denominators means GCF of 20,672 as per the given fractions.

GCF of 20,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4638,6719

LCM of Fractions 4638/20,6719/672 is 31162722/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 31162722

Least Common Multiple of 4638,6719 with GCF Formula

Least Common Multiple of 4638,6719 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 4638,6719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4638,6719) = 1

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

GCF(4638,6719) x common factors =1 x 1 = 1

LCM(4638,6719) = ( 4638 × 6719 ) / 1

LCM(4638,6719) = 31162722 / 1

LCM(4638,6719) = 31162722


Lets's calculate GCF of 20,672

2 20, 672
2 10, 336
5, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31162722/4

Therefore the LCM of Fractions 4638/20,6719/672 is 31162722/4

Greatest Common Factor of 20,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,672 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 20,672 . The biggest common factor number is the GCF number.
So the greatest common factor 20,672 is 4.


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 4638/20, 6719/672

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 4638/20, 6719/672?

Answer: LCM of Numerators as per given numbers 4638/20, 6719/672 is

LCM of Numerators i.e. for 4638,6719 is 31162722

GCF of denominators i.e. for 20,672 is 4.

Thus, LCM of Fractions is 31162722/4.Finally, LCM of Fractions for 4638/20, 6719/672 is 31162722/4.