Least Common Multiple of 21/835, 9235/9665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/835, 9235/9665 quickly i.e. 38787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/835, 9235/9665 is 38787.

LCM(21/835, 9235/9665) = 38787

LCM of 21/835, 9235/9665

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 21/835,9235/9665

Given numbers are 21/835,9235/9665

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 21,9235

Least Common Multiple of Numerators i.e. LCM of 21,9235 is 193935.

GCF of Denominators means GCF of 835,9665 as per the given fractions.

GCF of 835,9665 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,9235

LCM of Fractions 21/835,9235/9665 is 38787

Given numbers has no common factors except 1. So, there LCM is their product i.e 193935

Least Common Multiple of 21,9235 with GCF Formula

Least Common Multiple of 21,9235 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 21,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,9235) = 1

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

GCF(21,9235) x common factors =1 x 1 = 1

LCM(21,9235) = ( 21 × 9235 ) / 1

LCM(21,9235) = 193935 / 1

LCM(21,9235) = 193935


Lets's calculate GCF of 835,9665

5 835, 9665
167, 1933

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193935/5

Therefore the LCM of Fractions 21/835,9235/9665 is 38787

Greatest Common Factor of 835,9665 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,9665 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Greatest Common Factor

We found the factors 835,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 835,9665 is 5.


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 21/835, 9235/9665

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 21/835, 9235/9665?

Answer: LCM of Numerators as per given numbers 21/835, 9235/9665 is

LCM of Numerators i.e. for 21,9235 is 193935

GCF of denominators i.e. for 835,9665 is 5.

Thus, LCM of Fractions is 38787.Finally, LCM of Fractions for 21/835, 9235/9665 is 38787.