Least Common Multiple of 5652/812, 9453/8385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5652/812, 9453/8385 quickly i.e. 17809452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5652/812, 9453/8385 is 17809452.

LCM(5652/812, 9453/8385) = 17809452

LCM of 5652/812, 9453/8385

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 5652/812,9453/8385

Given numbers are 5652/812,9453/8385

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 5652,9453

Least Common Multiple of Numerators i.e. LCM of 5652,9453 is 17809452.

GCF of Denominators means GCF of 812,8385 as per the given fractions.

GCF of 812,8385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5652,9453

LCM of Fractions 5652/812,9453/8385 is 17809452

3 5652, 9453
1884, 3151

∴ So the LCM of the given numbers is 3 x 1884 x 3151 = 17809452

Least Common Multiple of 5652,9453 with GCF Formula

Least Common Multiple of 5652,9453 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 5652,9453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5652,9453) = 3

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

GCF(5652,9453) x common factors =3 x 1 = 3

LCM(5652,9453) = ( 5652 × 9453 ) / 3

LCM(5652,9453) = 53428356 / 3

LCM(5652,9453) = 17809452


Lets's calculate GCF of 812,8385

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17809452/1

Therefore the LCM of Fractions 5652/812,9453/8385 is 17809452

Greatest Common Factor of 812,8385 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,8385 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

Greatest Common Factor

We found the factors 812,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 812,8385 is 1.


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 5652/812, 9453/8385

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 5652/812, 9453/8385?

Answer: LCM of Numerators as per given numbers 5652/812, 9453/8385 is

LCM of Numerators i.e. for 5652,9453 is 17809452

GCF of denominators i.e. for 812,8385 is 1.

Thus, LCM of Fractions is 17809452.Finally, LCM of Fractions for 5652/812, 9453/8385 is 17809452.