Least Common Multiple of 43/46, 34/77, 189/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/46, 34/77, 189/834 quickly i.e. 276318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/46, 34/77, 189/834 is 276318.

LCM(43/46, 34/77, 189/834) = 276318

LCM of 43/46, 34/77, 189/834

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 43/46,34/77,189/834

Given numbers are 43/46,34/77,189/834

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 43,34,189

Least Common Multiple of Numerators i.e. LCM of 43,34,189 is 276318.

GCF of Denominators means GCF of 46,77,834 as per the given fractions.

GCF of 46,77,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,34,189

LCM of Fractions 43/46,34/77,189/834 is 276318

Given numbers has no common factors except 1. So, there LCM is their product i.e 276318

Least Common Multiple of 43,34,189 with GCF Formula

Least Common Multiple of 43,34,189 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 43,34,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,34,189) = 1

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

GCF(43,34,189) x common factors =1 x 1 = 1

LCM(43,34,189) = ( 43 × 34 × 189 ) / 1

LCM(43,34,189) = 276318 / 1

LCM(43,34,189) = 276318


Lets's calculate GCF of 46,77,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276318/1

Therefore the LCM of Fractions 43/46,34/77,189/834 is 276318

Greatest Common Factor of 46,77,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,77,834 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 46,77,834 . The biggest common factor number is the GCF number.
So the greatest common factor 46,77,834 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 43/46, 34/77, 189/834

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 43/46, 34/77, 189/834?

Answer: LCM of Numerators as per given numbers 43/46, 34/77, 189/834 is

LCM of Numerators i.e. for 43,34,189 is 276318

GCF of denominators i.e. for 46,77,834 is 1.

Thus, LCM of Fractions is 276318.Finally, LCM of Fractions for 43/46, 34/77, 189/834 is 276318.