Least Common Multiple of 467/15, 307/3805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/15, 307/3805 quickly i.e. 143369/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/15, 307/3805 is 143369/5.

LCM(467/15, 307/3805) = 143369/5

LCM of 467/15, 307/3805

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 467/15,307/3805

Given numbers are 467/15,307/3805

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 467,307

Least Common Multiple of Numerators i.e. LCM of 467,307 is 143369.

GCF of Denominators means GCF of 15,3805 as per the given fractions.

GCF of 15,3805 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,307

LCM of Fractions 467/15,307/3805 is 143369/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 143369

Least Common Multiple of 467,307 with GCF Formula

Least Common Multiple of 467,307 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 467,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,307) = 1

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

GCF(467,307) x common factors =1 x 1 = 1

LCM(467,307) = ( 467 × 307 ) / 1

LCM(467,307) = 143369 / 1

LCM(467,307) = 143369


Lets's calculate GCF of 15,3805

5 15, 3805
3, 761

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143369/5

Therefore the LCM of Fractions 467/15,307/3805 is 143369/5

Greatest Common Factor of 15,3805 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,3805 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1,5,761,3805

Greatest Common Factor

We found the factors 15,3805 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3805 is 5.


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 467/15, 307/3805

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 467/15, 307/3805?

Answer: LCM of Numerators as per given numbers 467/15, 307/3805 is

LCM of Numerators i.e. for 467,307 is 143369

GCF of denominators i.e. for 15,3805 is 5.

Thus, LCM of Fractions is 143369/5.Finally, LCM of Fractions for 467/15, 307/3805 is 143369/5.