Least Common Multiple of 58/580, 47/109, 465/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/580, 47/109, 465/152 quickly i.e. 1267590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/580, 47/109, 465/152 is 1267590.

LCM(58/580, 47/109, 465/152) = 1267590

LCM of 58/580, 47/109, 465/152

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 58/580,47/109,465/152

Given numbers are 58/580,47/109,465/152

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 58,47,465

Least Common Multiple of Numerators i.e. LCM of 58,47,465 is 1267590.

GCF of Denominators means GCF of 580,109,152 as per the given fractions.

GCF of 580,109,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,47,465

LCM of Fractions 58/580,47/109,465/152 is 1267590

Given numbers has no common factors except 1. So, there LCM is their product i.e 1267590

Least Common Multiple of 58,47,465 with GCF Formula

Least Common Multiple of 58,47,465 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 58,47,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,47,465) = 1

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

GCF(58,47,465) x common factors =1 x 1 = 1

LCM(58,47,465) = ( 58 × 47 × 465 ) / 1

LCM(58,47,465) = 1267590 / 1

LCM(58,47,465) = 1267590


Lets's calculate GCF of 580,109,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1267590/1

Therefore the LCM of Fractions 58/580,47/109,465/152 is 1267590

Greatest Common Factor of 580,109,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,109,152 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 580,109,152 . The biggest common factor number is the GCF number.
So the greatest common factor 580,109,152 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 58/580, 47/109, 465/152

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 58/580, 47/109, 465/152?

Answer: LCM of Numerators as per given numbers 58/580, 47/109, 465/152 is

LCM of Numerators i.e. for 58,47,465 is 1267590

GCF of denominators i.e. for 580,109,152 is 1.

Thus, LCM of Fractions is 1267590.Finally, LCM of Fractions for 58/580, 47/109, 465/152 is 1267590.