Least Common Multiple of 332/46, 558/3746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 332/46, 558/3746 quickly i.e. 46314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/46, 558/3746 is 46314.

LCM(332/46, 558/3746) = 46314

LCM of 332/46, 558/3746

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 332/46,558/3746

Given numbers are 332/46,558/3746

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 332,558

Least Common Multiple of Numerators i.e. LCM of 332,558 is 92628.

GCF of Denominators means GCF of 46,3746 as per the given fractions.

GCF of 46,3746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,558

LCM of Fractions 332/46,558/3746 is 46314

2 332, 558
166, 279

∴ So the LCM of the given numbers is 2 x 166 x 279 = 92628

Least Common Multiple of 332,558 with GCF Formula

Least Common Multiple of 332,558 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 332,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,558) = 2

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

GCF(332,558) x common factors =2 x 1 = 2

LCM(332,558) = ( 332 × 558 ) / 2

LCM(332,558) = 185256 / 2

LCM(332,558) = 92628


Lets's calculate GCF of 46,3746

2 46, 3746
23, 1873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92628/2

Therefore the LCM of Fractions 332/46,558/3746 is 46314

Greatest Common Factor of 46,3746 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3746 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 3746

List of positive integer factors of 3746 that divides 3746 without a remainder.

1,2,1873,3746

Greatest Common Factor

We found the factors 46,3746 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3746 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 332/46, 558/3746

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 332/46, 558/3746?

Answer: LCM of Numerators as per given numbers 332/46, 558/3746 is

LCM of Numerators i.e. for 332,558 is 92628

GCF of denominators i.e. for 46,3746 is 2.

Thus, LCM of Fractions is 46314.Finally, LCM of Fractions for 332/46, 558/3746 is 46314.