Least Common Multiple of 5831/332, 8945/3762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5831/332, 8945/3762 quickly i.e. 52158295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5831/332, 8945/3762 is 52158295/2.

LCM(5831/332, 8945/3762) = 52158295/2

LCM of 5831/332, 8945/3762

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 5831/332,8945/3762

Given numbers are 5831/332,8945/3762

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 5831,8945

Least Common Multiple of Numerators i.e. LCM of 5831,8945 is 52158295.

GCF of Denominators means GCF of 332,3762 as per the given fractions.

GCF of 332,3762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5831,8945

LCM of Fractions 5831/332,8945/3762 is 52158295/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 52158295

Least Common Multiple of 5831,8945 with GCF Formula

Least Common Multiple of 5831,8945 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 5831,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5831,8945) = 1

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

GCF(5831,8945) x common factors =1 x 1 = 1

LCM(5831,8945) = ( 5831 × 8945 ) / 1

LCM(5831,8945) = 52158295 / 1

LCM(5831,8945) = 52158295


Lets's calculate GCF of 332,3762

2 332, 3762
166, 1881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52158295/2

Therefore the LCM of Fractions 5831/332,8945/3762 is 52158295/2

Greatest Common Factor of 332,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,3762 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 332,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 332,3762 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5831/332, 8945/3762

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 5831/332, 8945/3762?

Answer: LCM of Numerators as per given numbers 5831/332, 8945/3762 is

LCM of Numerators i.e. for 5831,8945 is 52158295

GCF of denominators i.e. for 332,3762 is 2.

Thus, LCM of Fractions is 52158295/2.Finally, LCM of Fractions for 5831/332, 8945/3762 is 52158295/2.