Least Common Multiple of 6878/684, 6681/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6878/684, 6681/758 quickly i.e. 22975959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6878/684, 6681/758 is 22975959.

LCM(6878/684, 6681/758) = 22975959

LCM of 6878/684, 6681/758

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 6878/684,6681/758

Given numbers are 6878/684,6681/758

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 6878,6681

Least Common Multiple of Numerators i.e. LCM of 6878,6681 is 45951918.

GCF of Denominators means GCF of 684,758 as per the given fractions.

GCF of 684,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6878,6681

LCM of Fractions 6878/684,6681/758 is 22975959

Given numbers has no common factors except 1. So, there LCM is their product i.e 45951918

Least Common Multiple of 6878,6681 with GCF Formula

Least Common Multiple of 6878,6681 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 6878,6681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6878,6681) = 1

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

GCF(6878,6681) x common factors =1 x 1 = 1

LCM(6878,6681) = ( 6878 × 6681 ) / 1

LCM(6878,6681) = 45951918 / 1

LCM(6878,6681) = 45951918


Lets's calculate GCF of 684,758

2 684, 758
342, 379

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45951918/2

Therefore the LCM of Fractions 6878/684,6681/758 is 22975959

Greatest Common Factor of 684,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,758 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 684,758 . The biggest common factor number is the GCF number.
So the greatest common factor 684,758 is 2.


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 6878/684, 6681/758

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 6878/684, 6681/758?

Answer: LCM of Numerators as per given numbers 6878/684, 6681/758 is

LCM of Numerators i.e. for 6878,6681 is 45951918

GCF of denominators i.e. for 684,758 is 2.

Thus, LCM of Fractions is 22975959.Finally, LCM of Fractions for 6878/684, 6681/758 is 22975959.