Least Common Multiple of 402/27, 331/58, 497/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 402/27, 331/58, 497/183 quickly i.e. 66131814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/27, 331/58, 497/183 is 66131814.

LCM(402/27, 331/58, 497/183) = 66131814

LCM of 402/27, 331/58, 497/183

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 402/27,331/58,497/183

Given numbers are 402/27,331/58,497/183

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 402,331,497

Least Common Multiple of Numerators i.e. LCM of 402,331,497 is 66131814.

GCF of Denominators means GCF of 27,58,183 as per the given fractions.

GCF of 27,58,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,331,497

LCM of Fractions 402/27,331/58,497/183 is 66131814

Given numbers has no common factors except 1. So, there LCM is their product i.e 66131814

Least Common Multiple of 402,331,497 with GCF Formula

Least Common Multiple of 402,331,497 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 402,331,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,331,497) = 1

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

GCF(402,331,497) x common factors =1 x 1 = 1

LCM(402,331,497) = ( 402 × 331 × 497 ) / 1

LCM(402,331,497) = 66131814 / 1

LCM(402,331,497) = 66131814


Lets's calculate GCF of 27,58,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66131814/1

Therefore the LCM of Fractions 402/27,331/58,497/183 is 66131814

Greatest Common Factor of 27,58,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,58,183 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

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

1,2,29,58

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 27,58,183 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,183 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 402/27, 331/58, 497/183

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 402/27, 331/58, 497/183?

Answer: LCM of Numerators as per given numbers 402/27, 331/58, 497/183 is

LCM of Numerators i.e. for 402,331,497 is 66131814

GCF of denominators i.e. for 27,58,183 is 1.

Thus, LCM of Fractions is 66131814.Finally, LCM of Fractions for 402/27, 331/58, 497/183 is 66131814.