Least Common Multiple of 789/386, 4074/8357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/386, 4074/8357 quickly i.e. 1071462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/386, 4074/8357 is 1071462.

LCM(789/386, 4074/8357) = 1071462

LCM of 789/386, 4074/8357

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 789/386,4074/8357

Given numbers are 789/386,4074/8357

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 789,4074

Least Common Multiple of Numerators i.e. LCM of 789,4074 is 1071462.

GCF of Denominators means GCF of 386,8357 as per the given fractions.

GCF of 386,8357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,4074

LCM of Fractions 789/386,4074/8357 is 1071462

3 789, 4074
263, 1358

∴ So the LCM of the given numbers is 3 x 263 x 1358 = 1071462

Least Common Multiple of 789,4074 with GCF Formula

Least Common Multiple of 789,4074 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 789,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,4074) = 3

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

GCF(789,4074) x common factors =3 x 1 = 3

LCM(789,4074) = ( 789 × 4074 ) / 3

LCM(789,4074) = 3214386 / 3

LCM(789,4074) = 1071462


Lets's calculate GCF of 386,8357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1071462/1

Therefore the LCM of Fractions 789/386,4074/8357 is 1071462

Greatest Common Factor of 386,8357 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,8357 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1,61,137,8357

Greatest Common Factor

We found the factors 386,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 386,8357 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 789/386, 4074/8357

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 789/386, 4074/8357?

Answer: LCM of Numerators as per given numbers 789/386, 4074/8357 is

LCM of Numerators i.e. for 789,4074 is 1071462

GCF of denominators i.e. for 386,8357 is 1.

Thus, LCM of Fractions is 1071462.Finally, LCM of Fractions for 789/386, 4074/8357 is 1071462.