Least Common Multiple of 113/58, 933/53, 468/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 113/58, 933/53, 468/664 quickly i.e. 16446924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/58, 933/53, 468/664 is 16446924.

LCM(113/58, 933/53, 468/664) = 16446924

LCM of 113/58, 933/53, 468/664

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 113/58,933/53,468/664

Given numbers are 113/58,933/53,468/664

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 113,933,468

Least Common Multiple of Numerators i.e. LCM of 113,933,468 is 16446924.

GCF of Denominators means GCF of 58,53,664 as per the given fractions.

GCF of 58,53,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,933,468

LCM of Fractions 113/58,933/53,468/664 is 16446924

3 113, 933, 468
113, 311, 156

∴ So the LCM of the given numbers is 3 x 113 x 311 x 156 = 16446924

Least Common Multiple of 113,933,468 with GCF Formula

Least Common Multiple of 113,933,468 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 113,933,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,933,468) = 1

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

GCF(113,933,468) x common factors =1 x 3 = 3

LCM(113,933,468) = ( 113 × 933 × 468 ) / 3

LCM(113,933,468) = 49340772 / 3

LCM(113,933,468) = 16446924


Lets's calculate GCF of 58,53,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16446924/1

Therefore the LCM of Fractions 113/58,933/53,468/664 is 16446924

Greatest Common Factor of 58,53,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,53,664 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 58,53,664 . The biggest common factor number is the GCF number.
So the greatest common factor 58,53,664 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 113/58, 933/53, 468/664

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 113/58, 933/53, 468/664?

Answer: LCM of Numerators as per given numbers 113/58, 933/53, 468/664 is

LCM of Numerators i.e. for 113,933,468 is 16446924

GCF of denominators i.e. for 58,53,664 is 1.

Thus, LCM of Fractions is 16446924.Finally, LCM of Fractions for 113/58, 933/53, 468/664 is 16446924.