Least Common Multiple of 7116/564, 3234/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7116/564, 3234/405 quickly i.e. 1278508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7116/564, 3234/405 is 1278508.

LCM(7116/564, 3234/405) = 1278508

LCM of 7116/564, 3234/405

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 7116/564,3234/405

Given numbers are 7116/564,3234/405

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 7116,3234

Least Common Multiple of Numerators i.e. LCM of 7116,3234 is 3835524.

GCF of Denominators means GCF of 564,405 as per the given fractions.

GCF of 564,405 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7116,3234

LCM of Fractions 7116/564,3234/405 is 1278508

2 7116, 3234
3 3558, 1617
1186, 539

∴ So the LCM of the given numbers is 2 x 3 x 1186 x 539 = 3835524

Least Common Multiple of 7116,3234 with GCF Formula

Least Common Multiple of 7116,3234 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 7116,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7116,3234) = 6

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

GCF(7116,3234) x common factors =6 x 1 = 6

LCM(7116,3234) = ( 7116 × 3234 ) / 6

LCM(7116,3234) = 23013144 / 6

LCM(7116,3234) = 3835524


Lets's calculate GCF of 564,405

3 564, 405
188, 135

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3835524/3

Therefore the LCM of Fractions 7116/564,3234/405 is 1278508

Greatest Common Factor of 564,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,405 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 564,405 . The biggest common factor number is the GCF number.
So the greatest common factor 564,405 is 3.


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 7116/564, 3234/405

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 7116/564, 3234/405?

Answer: LCM of Numerators as per given numbers 7116/564, 3234/405 is

LCM of Numerators i.e. for 7116,3234 is 3835524

GCF of denominators i.e. for 564,405 is 3.

Thus, LCM of Fractions is 1278508.Finally, LCM of Fractions for 7116/564, 3234/405 is 1278508.