Least Common Multiple of 848/30, 381/6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 848/30, 381/6786 quickly i.e. 53848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 848/30, 381/6786 is 53848.

LCM(848/30, 381/6786) = 53848

LCM of 848/30, 381/6786

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 848/30,381/6786

Given numbers are 848/30,381/6786

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 848,381

Least Common Multiple of Numerators i.e. LCM of 848,381 is 323088.

GCF of Denominators means GCF of 30,6786 as per the given fractions.

GCF of 30,6786 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 848,381

LCM of Fractions 848/30,381/6786 is 53848

Given numbers has no common factors except 1. So, there LCM is their product i.e 323088

Least Common Multiple of 848,381 with GCF Formula

Least Common Multiple of 848,381 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 848,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,381) = 1

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

GCF(848,381) x common factors =1 x 1 = 1

LCM(848,381) = ( 848 × 381 ) / 1

LCM(848,381) = 323088 / 1

LCM(848,381) = 323088


Lets's calculate GCF of 30,6786

2 30, 6786
3 15, 3393
5, 1131

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323088/6

Therefore the LCM of Fractions 848/30,381/6786 is 53848

Greatest Common Factor of 30,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,6786 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 30,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6786 is 6.


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 848/30, 381/6786

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 848/30, 381/6786?

Answer: LCM of Numerators as per given numbers 848/30, 381/6786 is

LCM of Numerators i.e. for 848,381 is 323088

GCF of denominators i.e. for 30,6786 is 6.

Thus, LCM of Fractions is 53848.Finally, LCM of Fractions for 848/30, 381/6786 is 53848.