Least Common Multiple of 46/738, 3661/6534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/738, 3661/6534 quickly i.e. 168406/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/738, 3661/6534 is 168406/18.

LCM(46/738, 3661/6534) = 168406/18

LCM of 46/738, 3661/6534

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 46/738,3661/6534

Given numbers are 46/738,3661/6534

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 46,3661

Least Common Multiple of Numerators i.e. LCM of 46,3661 is 168406.

GCF of Denominators means GCF of 738,6534 as per the given fractions.

GCF of 738,6534 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,3661

LCM of Fractions 46/738,3661/6534 is 168406/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 168406

Least Common Multiple of 46,3661 with GCF Formula

Least Common Multiple of 46,3661 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 46,3661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,3661) = 1

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

GCF(46,3661) x common factors =1 x 1 = 1

LCM(46,3661) = ( 46 × 3661 ) / 1

LCM(46,3661) = 168406 / 1

LCM(46,3661) = 168406


Lets's calculate GCF of 738,6534

2 738, 6534
3 369, 3267
3 123, 1089
41, 363

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168406/18

Therefore the LCM of Fractions 46/738,3661/6534 is 168406/18

Greatest Common Factor of 738,6534 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,6534 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 6534

List of positive integer factors of 6534 that divides 6534 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,121,198,242,297,363,594,726,1089,2178,3267,6534

Greatest Common Factor

We found the factors 738,6534 . The biggest common factor number is the GCF number.
So the greatest common factor 738,6534 is 18.


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 46/738, 3661/6534

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 46/738, 3661/6534?

Answer: LCM of Numerators as per given numbers 46/738, 3661/6534 is

LCM of Numerators i.e. for 46,3661 is 168406

GCF of denominators i.e. for 738,6534 is 18.

Thus, LCM of Fractions is 168406/18.Finally, LCM of Fractions for 46/738, 3661/6534 is 168406/18.