Least Common Multiple of 58/45, 284/73, 426/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/45, 284/73, 426/601 quickly i.e. 24708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/45, 284/73, 426/601 is 24708.

LCM(58/45, 284/73, 426/601) = 24708

LCM of 58/45, 284/73, 426/601

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 58/45,284/73,426/601

Given numbers are 58/45,284/73,426/601

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 58,284,426

Least Common Multiple of Numerators i.e. LCM of 58,284,426 is 24708.

GCF of Denominators means GCF of 45,73,601 as per the given fractions.

GCF of 45,73,601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,284,426

LCM of Fractions 58/45,284/73,426/601 is 24708

2 58, 284, 426
71 29, 142, 213
29, 2, 3

∴ So the LCM of the given numbers is 2 x 71 x 29 x 2 x 3 = 24708

Least Common Multiple of 58,284,426 with GCF Formula

Least Common Multiple of 58,284,426 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 58,284,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,284,426) = 2

common factors(in case of two or more numbers have common factors) = 142

GCF(58,284,426) x common factors =2 x 142 = 284

LCM(58,284,426) = ( 58 × 284 × 426 ) / 284

LCM(58,284,426) = 7017072 / 284

LCM(58,284,426) = 24708


Lets's calculate GCF of 45,73,601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24708/1

Therefore the LCM of Fractions 58/45,284/73,426/601 is 24708

Greatest Common Factor of 45,73,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,73,601 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 45,73,601 . The biggest common factor number is the GCF number.
So the greatest common factor 45,73,601 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 58/45, 284/73, 426/601

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 58/45, 284/73, 426/601?

Answer: LCM of Numerators as per given numbers 58/45, 284/73, 426/601 is

LCM of Numerators i.e. for 58,284,426 is 24708

GCF of denominators i.e. for 45,73,601 is 1.

Thus, LCM of Fractions is 24708.Finally, LCM of Fractions for 58/45, 284/73, 426/601 is 24708.