Least Common Multiple of 468/38, 6708/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/38, 6708/735 quickly i.e. 20124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/38, 6708/735 is 20124.

LCM(468/38, 6708/735) = 20124

LCM of 468/38, 6708/735

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 468/38,6708/735

Given numbers are 468/38,6708/735

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 468,6708

Least Common Multiple of Numerators i.e. LCM of 468,6708 is 20124.

GCF of Denominators means GCF of 38,735 as per the given fractions.

GCF of 38,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,6708

LCM of Fractions 468/38,6708/735 is 20124

2 468, 6708
2 234, 3354
3 117, 1677
13 39, 559
3, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 3 x 43 = 20124

Least Common Multiple of 468,6708 with GCF Formula

Least Common Multiple of 468,6708 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 468,6708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,6708) = 156

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

GCF(468,6708) x common factors =156 x 1 = 156

LCM(468,6708) = ( 468 × 6708 ) / 156

LCM(468,6708) = 3139344 / 156

LCM(468,6708) = 20124


Lets's calculate GCF of 38,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20124/1

Therefore the LCM of Fractions 468/38,6708/735 is 20124

Greatest Common Factor of 38,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,735 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 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 38,735 . The biggest common factor number is the GCF number.
So the greatest common factor 38,735 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 468/38, 6708/735

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 468/38, 6708/735?

Answer: LCM of Numerators as per given numbers 468/38, 6708/735 is

LCM of Numerators i.e. for 468,6708 is 20124

GCF of denominators i.e. for 38,735 is 1.

Thus, LCM of Fractions is 20124.Finally, LCM of Fractions for 468/38, 6708/735 is 20124.