Least Common Multiple of 9636/369, 6716/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9636/369, 6716/829 quickly i.e. 221628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9636/369, 6716/829 is 221628.

LCM(9636/369, 6716/829) = 221628

LCM of 9636/369, 6716/829

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 9636/369,6716/829

Given numbers are 9636/369,6716/829

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 9636,6716

Least Common Multiple of Numerators i.e. LCM of 9636,6716 is 221628.

GCF of Denominators means GCF of 369,829 as per the given fractions.

GCF of 369,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9636,6716

LCM of Fractions 9636/369,6716/829 is 221628

2 9636, 6716
2 4818, 3358
73 2409, 1679
33, 23

∴ So the LCM of the given numbers is 2 x 2 x 73 x 33 x 23 = 221628

Least Common Multiple of 9636,6716 with GCF Formula

Least Common Multiple of 9636,6716 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 9636,6716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9636,6716) = 292

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

GCF(9636,6716) x common factors =292 x 1 = 292

LCM(9636,6716) = ( 9636 × 6716 ) / 292

LCM(9636,6716) = 64715376 / 292

LCM(9636,6716) = 221628


Lets's calculate GCF of 369,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221628/1

Therefore the LCM of Fractions 9636/369,6716/829 is 221628

Greatest Common Factor of 369,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,829 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 369,829 . The biggest common factor number is the GCF number.
So the greatest common factor 369,829 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 9636/369, 6716/829

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 9636/369, 6716/829?

Answer: LCM of Numerators as per given numbers 9636/369, 6716/829 is

LCM of Numerators i.e. for 9636,6716 is 221628

GCF of denominators i.e. for 369,829 is 1.

Thus, LCM of Fractions is 221628.Finally, LCM of Fractions for 9636/369, 6716/829 is 221628.