Least Common Multiple of 472/39, 341/4615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 472/39, 341/4615 quickly i.e. 160952/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/39, 341/4615 is 160952/13.

LCM(472/39, 341/4615) = 160952/13

LCM of 472/39, 341/4615

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 472/39,341/4615

Given numbers are 472/39,341/4615

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 472,341

Least Common Multiple of Numerators i.e. LCM of 472,341 is 160952.

GCF of Denominators means GCF of 39,4615 as per the given fractions.

GCF of 39,4615 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,341

LCM of Fractions 472/39,341/4615 is 160952/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 160952

Least Common Multiple of 472,341 with GCF Formula

Least Common Multiple of 472,341 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 472,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,341) = 1

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

GCF(472,341) x common factors =1 x 1 = 1

LCM(472,341) = ( 472 × 341 ) / 1

LCM(472,341) = 160952 / 1

LCM(472,341) = 160952


Lets's calculate GCF of 39,4615

13 39, 4615
3, 355

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160952/13

Therefore the LCM of Fractions 472/39,341/4615 is 160952/13

Greatest Common Factor of 39,4615 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,4615 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 4615

List of positive integer factors of 4615 that divides 4615 without a remainder.

1,5,13,65,71,355,923,4615

Greatest Common Factor

We found the factors 39,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4615 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 472/39, 341/4615

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 472/39, 341/4615?

Answer: LCM of Numerators as per given numbers 472/39, 341/4615 is

LCM of Numerators i.e. for 472,341 is 160952

GCF of denominators i.e. for 39,4615 is 13.

Thus, LCM of Fractions is 160952/13.Finally, LCM of Fractions for 472/39, 341/4615 is 160952/13.