Least Common Multiple of 3466/795, 7676/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3466/795, 7676/387 quickly i.e. 13302508/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3466/795, 7676/387 is 13302508/3.

LCM(3466/795, 7676/387) = 13302508/3

LCM of 3466/795, 7676/387

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 3466/795,7676/387

Given numbers are 3466/795,7676/387

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 3466,7676

Least Common Multiple of Numerators i.e. LCM of 3466,7676 is 13302508.

GCF of Denominators means GCF of 795,387 as per the given fractions.

GCF of 795,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3466,7676

LCM of Fractions 3466/795,7676/387 is 13302508/3

2 3466, 7676
1733, 3838

∴ So the LCM of the given numbers is 2 x 1733 x 3838 = 13302508

Least Common Multiple of 3466,7676 with GCF Formula

Least Common Multiple of 3466,7676 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 3466,7676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3466,7676) = 2

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

GCF(3466,7676) x common factors =2 x 1 = 2

LCM(3466,7676) = ( 3466 × 7676 ) / 2

LCM(3466,7676) = 26605016 / 2

LCM(3466,7676) = 13302508


Lets's calculate GCF of 795,387

3 795, 387
265, 129

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13302508/3

Therefore the LCM of Fractions 3466/795,7676/387 is 13302508/3

Greatest Common Factor of 795,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,387 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 795,387 . The biggest common factor number is the GCF number.
So the greatest common factor 795,387 is 3.


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 3466/795, 7676/387

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 3466/795, 7676/387?

Answer: LCM of Numerators as per given numbers 3466/795, 7676/387 is

LCM of Numerators i.e. for 3466,7676 is 13302508

GCF of denominators i.e. for 795,387 is 3.

Thus, LCM of Fractions is 13302508/3.Finally, LCM of Fractions for 3466/795, 7676/387 is 13302508/3.