Least Common Multiple of 73/41, 70/57, 588/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/41, 70/57, 588/860 quickly i.e. 214620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/41, 70/57, 588/860 is 214620.

LCM(73/41, 70/57, 588/860) = 214620

LCM of 73/41, 70/57, 588/860

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 73/41,70/57,588/860

Given numbers are 73/41,70/57,588/860

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 73,70,588

Least Common Multiple of Numerators i.e. LCM of 73,70,588 is 214620.

GCF of Denominators means GCF of 41,57,860 as per the given fractions.

GCF of 41,57,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,70,588

LCM of Fractions 73/41,70/57,588/860 is 214620

2 73, 70, 588
7 73, 35, 294
73, 5, 42

∴ So the LCM of the given numbers is 2 x 7 x 73 x 5 x 42 = 214620

Least Common Multiple of 73,70,588 with GCF Formula

Least Common Multiple of 73,70,588 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 73,70,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,70,588) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(73,70,588) x common factors =1 x 14 = 14

LCM(73,70,588) = ( 73 × 70 × 588 ) / 14

LCM(73,70,588) = 3004680 / 14

LCM(73,70,588) = 214620


Lets's calculate GCF of 41,57,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214620/1

Therefore the LCM of Fractions 73/41,70/57,588/860 is 214620

Greatest Common Factor of 41,57,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,57,860 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 41,57,860 . The biggest common factor number is the GCF number.
So the greatest common factor 41,57,860 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 73/41, 70/57, 588/860

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 73/41, 70/57, 588/860?

Answer: LCM of Numerators as per given numbers 73/41, 70/57, 588/860 is

LCM of Numerators i.e. for 73,70,588 is 214620

GCF of denominators i.e. for 41,57,860 is 1.

Thus, LCM of Fractions is 214620.Finally, LCM of Fractions for 73/41, 70/57, 588/860 is 214620.