Least Common Multiple of 73/588, 417/470, 292/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/588, 417/470, 292/158 quickly i.e. 60882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/588, 417/470, 292/158 is 60882.

LCM(73/588, 417/470, 292/158) = 60882

LCM of 73/588, 417/470, 292/158

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 73/588,417/470,292/158

Given numbers are 73/588,417/470,292/158

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 73,417,292

Least Common Multiple of Numerators i.e. LCM of 73,417,292 is 121764.

GCF of Denominators means GCF of 588,470,158 as per the given fractions.

GCF of 588,470,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,417,292

LCM of Fractions 73/588,417/470,292/158 is 60882

73 73, 417, 292
1, 417, 4

∴ So the LCM of the given numbers is 73 x 1 x 417 x 4 = 121764

Least Common Multiple of 73,417,292 with GCF Formula

Least Common Multiple of 73,417,292 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 73,417,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,417,292) = 1

common factors(in case of two or more numbers have common factors) = 73

GCF(73,417,292) x common factors =1 x 73 = 73

LCM(73,417,292) = ( 73 × 417 × 292 ) / 73

LCM(73,417,292) = 8888772 / 73

LCM(73,417,292) = 121764


Lets's calculate GCF of 588,470,158

2 588, 470, 158
294, 235, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121764/2

Therefore the LCM of Fractions 73/588,417/470,292/158 is 60882

Greatest Common Factor of 588,470,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,470,158 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 588,470,158 . The biggest common factor number is the GCF number.
So the greatest common factor 588,470,158 is 2.


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 73/588, 417/470, 292/158

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 73/588, 417/470, 292/158?

Answer: LCM of Numerators as per given numbers 73/588, 417/470, 292/158 is

LCM of Numerators i.e. for 73,417,292 is 121764

GCF of denominators i.e. for 588,470,158 is 2.

Thus, LCM of Fractions is 60882.Finally, LCM of Fractions for 73/588, 417/470, 292/158 is 60882.