Least Common Multiple of 392/51, 378/8346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 392/51, 378/8346 quickly i.e. 3528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/51, 378/8346 is 3528.

LCM(392/51, 378/8346) = 3528

LCM of 392/51, 378/8346

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 392/51,378/8346

Given numbers are 392/51,378/8346

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 392,378

Least Common Multiple of Numerators i.e. LCM of 392,378 is 10584.

GCF of Denominators means GCF of 51,8346 as per the given fractions.

GCF of 51,8346 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,378

LCM of Fractions 392/51,378/8346 is 3528

2 392, 378
7 196, 189
28, 27

∴ So the LCM of the given numbers is 2 x 7 x 28 x 27 = 10584

Least Common Multiple of 392,378 with GCF Formula

Least Common Multiple of 392,378 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 392,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,378) = 14

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

GCF(392,378) x common factors =14 x 1 = 14

LCM(392,378) = ( 392 × 378 ) / 14

LCM(392,378) = 148176 / 14

LCM(392,378) = 10584


Lets's calculate GCF of 51,8346

3 51, 8346
17, 2782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10584/3

Therefore the LCM of Fractions 392/51,378/8346 is 3528

Greatest Common Factor of 51,8346 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,8346 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346

Greatest Common Factor

We found the factors 51,8346 . The biggest common factor number is the GCF number.
So the greatest common factor 51,8346 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 392/51, 378/8346

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 392/51, 378/8346?

Answer: LCM of Numerators as per given numbers 392/51, 378/8346 is

LCM of Numerators i.e. for 392,378 is 10584

GCF of denominators i.e. for 51,8346 is 3.

Thus, LCM of Fractions is 3528.Finally, LCM of Fractions for 392/51, 378/8346 is 3528.