Least Common Multiple of 93/184, 339/364, 117/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/184, 339/364, 117/731 quickly i.e. 409851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/184, 339/364, 117/731 is 409851.

LCM(93/184, 339/364, 117/731) = 409851

LCM of 93/184, 339/364, 117/731

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 93/184,339/364,117/731

Given numbers are 93/184,339/364,117/731

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 93,339,117

Least Common Multiple of Numerators i.e. LCM of 93,339,117 is 409851.

GCF of Denominators means GCF of 184,364,731 as per the given fractions.

GCF of 184,364,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,339,117

LCM of Fractions 93/184,339/364,117/731 is 409851

3 93, 339, 117
31, 113, 39

∴ So the LCM of the given numbers is 3 x 31 x 113 x 39 = 409851

Least Common Multiple of 93,339,117 with GCF Formula

Least Common Multiple of 93,339,117 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 93,339,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,339,117) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,339,117) x common factors =3 x 3 = 9

LCM(93,339,117) = ( 93 × 339 × 117 ) / 9

LCM(93,339,117) = 3688659 / 9

LCM(93,339,117) = 409851


Lets's calculate GCF of 184,364,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 409851/1

Therefore the LCM of Fractions 93/184,339/364,117/731 is 409851

Greatest Common Factor of 184,364,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,364,731 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 184,364,731 . The biggest common factor number is the GCF number.
So the greatest common factor 184,364,731 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 93/184, 339/364, 117/731

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 93/184, 339/364, 117/731?

Answer: LCM of Numerators as per given numbers 93/184, 339/364, 117/731 is

LCM of Numerators i.e. for 93,339,117 is 409851

GCF of denominators i.e. for 184,364,731 is 1.

Thus, LCM of Fractions is 409851.Finally, LCM of Fractions for 93/184, 339/364, 117/731 is 409851.