Least Common Multiple of 46/752, 4121/6826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/752, 4121/6826 quickly i.e. 94783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/752, 4121/6826 is 94783.

LCM(46/752, 4121/6826) = 94783

LCM of 46/752, 4121/6826

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 46/752,4121/6826

Given numbers are 46/752,4121/6826

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 46,4121

Least Common Multiple of Numerators i.e. LCM of 46,4121 is 189566.

GCF of Denominators means GCF of 752,6826 as per the given fractions.

GCF of 752,6826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,4121

LCM of Fractions 46/752,4121/6826 is 94783

Given numbers has no common factors except 1. So, there LCM is their product i.e 189566

Least Common Multiple of 46,4121 with GCF Formula

Least Common Multiple of 46,4121 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 46,4121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,4121) = 1

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

GCF(46,4121) x common factors =1 x 1 = 1

LCM(46,4121) = ( 46 × 4121 ) / 1

LCM(46,4121) = 189566 / 1

LCM(46,4121) = 189566


Lets's calculate GCF of 752,6826

2 752, 6826
376, 3413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189566/2

Therefore the LCM of Fractions 46/752,4121/6826 is 94783

Greatest Common Factor of 752,6826 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,6826 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 6826

List of positive integer factors of 6826 that divides 6826 without a remainder.

1,2,3413,6826

Greatest Common Factor

We found the factors 752,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 752,6826 is 2.


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 46/752, 4121/6826

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 46/752, 4121/6826?

Answer: LCM of Numerators as per given numbers 46/752, 4121/6826 is

LCM of Numerators i.e. for 46,4121 is 189566

GCF of denominators i.e. for 752,6826 is 2.

Thus, LCM of Fractions is 94783.Finally, LCM of Fractions for 46/752, 4121/6826 is 94783.