Least Common Multiple of 58/59, 43/188, 369/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/59, 43/188, 369/478 quickly i.e. 920286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/59, 43/188, 369/478 is 920286.

LCM(58/59, 43/188, 369/478) = 920286

LCM of 58/59, 43/188, 369/478

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 58/59,43/188,369/478

Given numbers are 58/59,43/188,369/478

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 58,43,369

Least Common Multiple of Numerators i.e. LCM of 58,43,369 is 920286.

GCF of Denominators means GCF of 59,188,478 as per the given fractions.

GCF of 59,188,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,43,369

LCM of Fractions 58/59,43/188,369/478 is 920286

Given numbers has no common factors except 1. So, there LCM is their product i.e 920286

Least Common Multiple of 58,43,369 with GCF Formula

Least Common Multiple of 58,43,369 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 58,43,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,43,369) = 1

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

GCF(58,43,369) x common factors =1 x 1 = 1

LCM(58,43,369) = ( 58 × 43 × 369 ) / 1

LCM(58,43,369) = 920286 / 1

LCM(58,43,369) = 920286


Lets's calculate GCF of 59,188,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 920286/1

Therefore the LCM of Fractions 58/59,43/188,369/478 is 920286

Greatest Common Factor of 59,188,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,188,478 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 59,188,478 . The biggest common factor number is the GCF number.
So the greatest common factor 59,188,478 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/59, 43/188, 369/478

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 58/59, 43/188, 369/478?

Answer: LCM of Numerators as per given numbers 58/59, 43/188, 369/478 is

LCM of Numerators i.e. for 58,43,369 is 920286

GCF of denominators i.e. for 59,188,478 is 1.

Thus, LCM of Fractions is 920286.Finally, LCM of Fractions for 58/59, 43/188, 369/478 is 920286.