Least Common Multiple of 852/387, 8382/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/387, 8382/813 quickly i.e. 396748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/387, 8382/813 is 396748.

LCM(852/387, 8382/813) = 396748

LCM of 852/387, 8382/813

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 852/387,8382/813

Given numbers are 852/387,8382/813

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 852,8382

Least Common Multiple of Numerators i.e. LCM of 852,8382 is 1190244.

GCF of Denominators means GCF of 387,813 as per the given fractions.

GCF of 387,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,8382

LCM of Fractions 852/387,8382/813 is 396748

2 852, 8382
3 426, 4191
142, 1397

∴ So the LCM of the given numbers is 2 x 3 x 142 x 1397 = 1190244

Least Common Multiple of 852,8382 with GCF Formula

Least Common Multiple of 852,8382 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 852,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,8382) = 6

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

GCF(852,8382) x common factors =6 x 1 = 6

LCM(852,8382) = ( 852 × 8382 ) / 6

LCM(852,8382) = 7141464 / 6

LCM(852,8382) = 1190244


Lets's calculate GCF of 387,813

3 387, 813
129, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1190244/3

Therefore the LCM of Fractions 852/387,8382/813 is 396748

Greatest Common Factor of 387,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,813 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 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 387,813 . The biggest common factor number is the GCF number.
So the greatest common factor 387,813 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 852/387, 8382/813

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 852/387, 8382/813?

Answer: LCM of Numerators as per given numbers 852/387, 8382/813 is

LCM of Numerators i.e. for 852,8382 is 1190244

GCF of denominators i.e. for 387,813 is 3.

Thus, LCM of Fractions is 396748.Finally, LCM of Fractions for 852/387, 8382/813 is 396748.