Least Common Multiple of 46/374, 8638/6932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/374, 8638/6932 quickly i.e. 99337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/374, 8638/6932 is 99337.

LCM(46/374, 8638/6932) = 99337

LCM of 46/374, 8638/6932

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 46/374,8638/6932

Given numbers are 46/374,8638/6932

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 46,8638

Least Common Multiple of Numerators i.e. LCM of 46,8638 is 198674.

GCF of Denominators means GCF of 374,6932 as per the given fractions.

GCF of 374,6932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,8638

LCM of Fractions 46/374,8638/6932 is 99337

2 46, 8638
23, 4319

∴ So the LCM of the given numbers is 2 x 23 x 4319 = 198674

Least Common Multiple of 46,8638 with GCF Formula

Least Common Multiple of 46,8638 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 46,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,8638) = 2

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

GCF(46,8638) x common factors =2 x 1 = 2

LCM(46,8638) = ( 46 × 8638 ) / 2

LCM(46,8638) = 397348 / 2

LCM(46,8638) = 198674


Lets's calculate GCF of 374,6932

2 374, 6932
187, 3466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198674/2

Therefore the LCM of Fractions 46/374,8638/6932 is 99337

Greatest Common Factor of 374,6932 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,6932 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1,2,4,1733,3466,6932

Greatest Common Factor

We found the factors 374,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 374,6932 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 46/374, 8638/6932

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 46/374, 8638/6932?

Answer: LCM of Numerators as per given numbers 46/374, 8638/6932 is

LCM of Numerators i.e. for 46,8638 is 198674

GCF of denominators i.e. for 374,6932 is 2.

Thus, LCM of Fractions is 99337.Finally, LCM of Fractions for 46/374, 8638/6932 is 99337.