Least Common Multiple of 72/472, 49/589, 235/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/472, 49/589, 235/913 quickly i.e. 829080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/472, 49/589, 235/913 is 829080.

LCM(72/472, 49/589, 235/913) = 829080

LCM of 72/472, 49/589, 235/913

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 72/472,49/589,235/913

Given numbers are 72/472,49/589,235/913

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 72,49,235

Least Common Multiple of Numerators i.e. LCM of 72,49,235 is 829080.

GCF of Denominators means GCF of 472,589,913 as per the given fractions.

GCF of 472,589,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,49,235

LCM of Fractions 72/472,49/589,235/913 is 829080

Given numbers has no common factors except 1. So, there LCM is their product i.e 829080

Least Common Multiple of 72,49,235 with GCF Formula

Least Common Multiple of 72,49,235 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 72,49,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,49,235) = 1

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

GCF(72,49,235) x common factors =1 x 1 = 1

LCM(72,49,235) = ( 72 × 49 × 235 ) / 1

LCM(72,49,235) = 829080 / 1

LCM(72,49,235) = 829080


Lets's calculate GCF of 472,589,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829080/1

Therefore the LCM of Fractions 72/472,49/589,235/913 is 829080

Greatest Common Factor of 472,589,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,589,913 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 472,589,913 . The biggest common factor number is the GCF number.
So the greatest common factor 472,589,913 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 72/472, 49/589, 235/913

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 72/472, 49/589, 235/913?

Answer: LCM of Numerators as per given numbers 72/472, 49/589, 235/913 is

LCM of Numerators i.e. for 72,49,235 is 829080

GCF of denominators i.e. for 472,589,913 is 1.

Thus, LCM of Fractions is 829080.Finally, LCM of Fractions for 72/472, 49/589, 235/913 is 829080.