Least Common Multiple of 43/846, 171/58, 241/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/846, 171/58, 241/794 quickly i.e. 1772073/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/846, 171/58, 241/794 is 1772073/2.

LCM(43/846, 171/58, 241/794) = 1772073/2

LCM of 43/846, 171/58, 241/794

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 43/846,171/58,241/794

Given numbers are 43/846,171/58,241/794

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 43,171,241

Least Common Multiple of Numerators i.e. LCM of 43,171,241 is 1772073.

GCF of Denominators means GCF of 846,58,794 as per the given fractions.

GCF of 846,58,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,171,241

LCM of Fractions 43/846,171/58,241/794 is 1772073/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1772073

Least Common Multiple of 43,171,241 with GCF Formula

Least Common Multiple of 43,171,241 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 43,171,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,171,241) = 1

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

GCF(43,171,241) x common factors =1 x 1 = 1

LCM(43,171,241) = ( 43 × 171 × 241 ) / 1

LCM(43,171,241) = 1772073 / 1

LCM(43,171,241) = 1772073


Lets's calculate GCF of 846,58,794

2 846, 58, 794
423, 29, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1772073/2

Therefore the LCM of Fractions 43/846,171/58,241/794 is 1772073/2

Greatest Common Factor of 846,58,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,58,794 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 846,58,794 . The biggest common factor number is the GCF number.
So the greatest common factor 846,58,794 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 43/846, 171/58, 241/794

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 43/846, 171/58, 241/794?

Answer: LCM of Numerators as per given numbers 43/846, 171/58, 241/794 is

LCM of Numerators i.e. for 43,171,241 is 1772073

GCF of denominators i.e. for 846,58,794 is 2.

Thus, LCM of Fractions is 1772073/2.Finally, LCM of Fractions for 43/846, 171/58, 241/794 is 1772073/2.