Least Common Multiple of 76/678, 9049/7856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/678, 9049/7856 quickly i.e. 343862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/678, 9049/7856 is 343862.

LCM(76/678, 9049/7856) = 343862

LCM of 76/678, 9049/7856

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 76/678,9049/7856

Given numbers are 76/678,9049/7856

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 76,9049

Least Common Multiple of Numerators i.e. LCM of 76,9049 is 687724.

GCF of Denominators means GCF of 678,7856 as per the given fractions.

GCF of 678,7856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,9049

LCM of Fractions 76/678,9049/7856 is 343862

Given numbers has no common factors except 1. So, there LCM is their product i.e 687724

Least Common Multiple of 76,9049 with GCF Formula

Least Common Multiple of 76,9049 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 76,9049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9049) = 1

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

GCF(76,9049) x common factors =1 x 1 = 1

LCM(76,9049) = ( 76 × 9049 ) / 1

LCM(76,9049) = 687724 / 1

LCM(76,9049) = 687724


Lets's calculate GCF of 678,7856

2 678, 7856
339, 3928

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 687724/2

Therefore the LCM of Fractions 76/678,9049/7856 is 343862

Greatest Common Factor of 678,7856 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,7856 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Greatest Common Factor

We found the factors 678,7856 . The biggest common factor number is the GCF number.
So the greatest common factor 678,7856 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 76/678, 9049/7856

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 76/678, 9049/7856?

Answer: LCM of Numerators as per given numbers 76/678, 9049/7856 is

LCM of Numerators i.e. for 76,9049 is 687724

GCF of denominators i.e. for 678,7856 is 2.

Thus, LCM of Fractions is 343862.Finally, LCM of Fractions for 76/678, 9049/7856 is 343862.