Least Common Multiple of 58/44, 18/47, 742/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/44, 18/47, 742/594 quickly i.e. 193662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/44, 18/47, 742/594 is 193662.

LCM(58/44, 18/47, 742/594) = 193662

LCM of 58/44, 18/47, 742/594

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 58/44,18/47,742/594

Given numbers are 58/44,18/47,742/594

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 58,18,742

Least Common Multiple of Numerators i.e. LCM of 58,18,742 is 193662.

GCF of Denominators means GCF of 44,47,594 as per the given fractions.

GCF of 44,47,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,18,742

LCM of Fractions 58/44,18/47,742/594 is 193662

2 58, 18, 742
29, 9, 371

∴ So the LCM of the given numbers is 2 x 29 x 9 x 371 = 193662

Least Common Multiple of 58,18,742 with GCF Formula

Least Common Multiple of 58,18,742 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 58,18,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,18,742) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,18,742) x common factors =2 x 2 = 4

LCM(58,18,742) = ( 58 × 18 × 742 ) / 4

LCM(58,18,742) = 774648 / 4

LCM(58,18,742) = 193662


Lets's calculate GCF of 44,47,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193662/1

Therefore the LCM of Fractions 58/44,18/47,742/594 is 193662

Greatest Common Factor of 44,47,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,47,594 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 44,47,594 . The biggest common factor number is the GCF number.
So the greatest common factor 44,47,594 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/44, 18/47, 742/594

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 58/44, 18/47, 742/594?

Answer: LCM of Numerators as per given numbers 58/44, 18/47, 742/594 is

LCM of Numerators i.e. for 58,18,742 is 193662

GCF of denominators i.e. for 44,47,594 is 1.

Thus, LCM of Fractions is 193662.Finally, LCM of Fractions for 58/44, 18/47, 742/594 is 193662.