Least Common Multiple of 46/51, 41/61, 89/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/51, 41/61, 89/189 quickly i.e. 167854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/51, 41/61, 89/189 is 167854.

LCM(46/51, 41/61, 89/189) = 167854

LCM of 46/51, 41/61, 89/189

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 46/51,41/61,89/189

Given numbers are 46/51,41/61,89/189

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 46,41,89

Least Common Multiple of Numerators i.e. LCM of 46,41,89 is 167854.

GCF of Denominators means GCF of 51,61,189 as per the given fractions.

GCF of 51,61,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,41,89

LCM of Fractions 46/51,41/61,89/189 is 167854

Given numbers has no common factors except 1. So, there LCM is their product i.e 167854

Least Common Multiple of 46,41,89 with GCF Formula

Least Common Multiple of 46,41,89 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 46,41,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,41,89) = 1

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

GCF(46,41,89) x common factors =1 x 1 = 1

LCM(46,41,89) = ( 46 × 41 × 89 ) / 1

LCM(46,41,89) = 167854 / 1

LCM(46,41,89) = 167854


Lets's calculate GCF of 51,61,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167854/1

Therefore the LCM of Fractions 46/51,41/61,89/189 is 167854

Greatest Common Factor of 51,61,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,61,189 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 51,61,189 . The biggest common factor number is the GCF number.
So the greatest common factor 51,61,189 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 46/51, 41/61, 89/189

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 46/51, 41/61, 89/189?

Answer: LCM of Numerators as per given numbers 46/51, 41/61, 89/189 is

LCM of Numerators i.e. for 46,41,89 is 167854

GCF of denominators i.e. for 51,61,189 is 1.

Thus, LCM of Fractions is 167854.Finally, LCM of Fractions for 46/51, 41/61, 89/189 is 167854.