Least Common Multiple of 82/387, 4578/3868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/387, 4578/3868 quickly i.e. 187698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/387, 4578/3868 is 187698.

LCM(82/387, 4578/3868) = 187698

LCM of 82/387, 4578/3868

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 82/387,4578/3868

Given numbers are 82/387,4578/3868

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 82,4578

Least Common Multiple of Numerators i.e. LCM of 82,4578 is 187698.

GCF of Denominators means GCF of 387,3868 as per the given fractions.

GCF of 387,3868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,4578

LCM of Fractions 82/387,4578/3868 is 187698

2 82, 4578
41, 2289

∴ So the LCM of the given numbers is 2 x 41 x 2289 = 187698

Least Common Multiple of 82,4578 with GCF Formula

Least Common Multiple of 82,4578 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 82,4578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,4578) = 2

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

GCF(82,4578) x common factors =2 x 1 = 2

LCM(82,4578) = ( 82 × 4578 ) / 2

LCM(82,4578) = 375396 / 2

LCM(82,4578) = 187698


Lets's calculate GCF of 387,3868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187698/1

Therefore the LCM of Fractions 82/387,4578/3868 is 187698

Greatest Common Factor of 387,3868 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,3868 By Matching Biggest Common Factor Method

Factors of 387

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

1,3,9,43,129,387

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1,2,4,967,1934,3868

Greatest Common Factor

We found the factors 387,3868 . The biggest common factor number is the GCF number.
So the greatest common factor 387,3868 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 82/387, 4578/3868

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 82/387, 4578/3868?

Answer: LCM of Numerators as per given numbers 82/387, 4578/3868 is

LCM of Numerators i.e. for 82,4578 is 187698

GCF of denominators i.e. for 387,3868 is 1.

Thus, LCM of Fractions is 187698.Finally, LCM of Fractions for 82/387, 4578/3868 is 187698.