Least Common Multiple of 6878/308, 7259/6734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6878/308, 7259/6734 quickly i.e. 3566243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6878/308, 7259/6734 is 3566243.

LCM(6878/308, 7259/6734) = 3566243

LCM of 6878/308, 7259/6734

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 6878/308,7259/6734

Given numbers are 6878/308,7259/6734

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 6878,7259

Least Common Multiple of Numerators i.e. LCM of 6878,7259 is 49927402.

GCF of Denominators means GCF of 308,6734 as per the given fractions.

GCF of 308,6734 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6878,7259

LCM of Fractions 6878/308,7259/6734 is 3566243

Given numbers has no common factors except 1. So, there LCM is their product i.e 49927402

Least Common Multiple of 6878,7259 with GCF Formula

Least Common Multiple of 6878,7259 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 6878,7259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6878,7259) = 1

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

GCF(6878,7259) x common factors =1 x 1 = 1

LCM(6878,7259) = ( 6878 × 7259 ) / 1

LCM(6878,7259) = 49927402 / 1

LCM(6878,7259) = 49927402


Lets's calculate GCF of 308,6734

2 308, 6734
7 154, 3367
22, 481

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49927402/14

Therefore the LCM of Fractions 6878/308,7259/6734 is 3566243

Greatest Common Factor of 308,6734 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,6734 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 308,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 308,6734 is 14.


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 6878/308, 7259/6734

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 6878/308, 7259/6734?

Answer: LCM of Numerators as per given numbers 6878/308, 7259/6734 is

LCM of Numerators i.e. for 6878,7259 is 49927402

GCF of denominators i.e. for 308,6734 is 14.

Thus, LCM of Fractions is 3566243.Finally, LCM of Fractions for 6878/308, 7259/6734 is 3566243.