Least Common Multiple of 33/678, 6876/7636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/678, 6876/7636 quickly i.e. 37818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/678, 6876/7636 is 37818.

LCM(33/678, 6876/7636) = 37818

LCM of 33/678, 6876/7636

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 33/678,6876/7636

Given numbers are 33/678,6876/7636

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 33,6876

Least Common Multiple of Numerators i.e. LCM of 33,6876 is 75636.

GCF of Denominators means GCF of 678,7636 as per the given fractions.

GCF of 678,7636 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,6876

LCM of Fractions 33/678,6876/7636 is 37818

3 33, 6876
11, 2292

∴ So the LCM of the given numbers is 3 x 11 x 2292 = 75636

Least Common Multiple of 33,6876 with GCF Formula

Least Common Multiple of 33,6876 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 33,6876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,6876) = 3

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

GCF(33,6876) x common factors =3 x 1 = 3

LCM(33,6876) = ( 33 × 6876 ) / 3

LCM(33,6876) = 226908 / 3

LCM(33,6876) = 75636


Lets's calculate GCF of 678,7636

2 678, 7636
339, 3818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75636/2

Therefore the LCM of Fractions 33/678,6876/7636 is 37818

Greatest Common Factor of 678,7636 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,7636 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 7636

List of positive integer factors of 7636 that divides 7636 without a remainder.

1,2,4,23,46,83,92,166,332,1909,3818,7636

Greatest Common Factor

We found the factors 678,7636 . The biggest common factor number is the GCF number.
So the greatest common factor 678,7636 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 33/678, 6876/7636

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 33/678, 6876/7636?

Answer: LCM of Numerators as per given numbers 33/678, 6876/7636 is

LCM of Numerators i.e. for 33,6876 is 75636

GCF of denominators i.e. for 678,7636 is 2.

Thus, LCM of Fractions is 37818.Finally, LCM of Fractions for 33/678, 6876/7636 is 37818.