Least Common Multiple of 15/467, 7418/5832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/467, 7418/5832 quickly i.e. 111270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/467, 7418/5832 is 111270.

LCM(15/467, 7418/5832) = 111270

LCM of 15/467, 7418/5832

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 15/467,7418/5832

Given numbers are 15/467,7418/5832

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 15,7418

Least Common Multiple of Numerators i.e. LCM of 15,7418 is 111270.

GCF of Denominators means GCF of 467,5832 as per the given fractions.

GCF of 467,5832 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,7418

LCM of Fractions 15/467,7418/5832 is 111270

Given numbers has no common factors except 1. So, there LCM is their product i.e 111270

Least Common Multiple of 15,7418 with GCF Formula

Least Common Multiple of 15,7418 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 15,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,7418) = 1

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

GCF(15,7418) x common factors =1 x 1 = 1

LCM(15,7418) = ( 15 × 7418 ) / 1

LCM(15,7418) = 111270 / 1

LCM(15,7418) = 111270


Lets's calculate GCF of 467,5832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111270/1

Therefore the LCM of Fractions 15/467,7418/5832 is 111270

Greatest Common Factor of 467,5832 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,5832 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Greatest Common Factor

We found the factors 467,5832 . The biggest common factor number is the GCF number.
So the greatest common factor 467,5832 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/467, 7418/5832

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 15/467, 7418/5832?

Answer: LCM of Numerators as per given numbers 15/467, 7418/5832 is

LCM of Numerators i.e. for 15,7418 is 111270

GCF of denominators i.e. for 467,5832 is 1.

Thus, LCM of Fractions is 111270.Finally, LCM of Fractions for 15/467, 7418/5832 is 111270.