Least Common Multiple of 21/675, 8262/4101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/675, 8262/4101 quickly i.e. 19278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/675, 8262/4101 is 19278.

LCM(21/675, 8262/4101) = 19278

LCM of 21/675, 8262/4101

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 21/675,8262/4101

Given numbers are 21/675,8262/4101

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 21,8262

Least Common Multiple of Numerators i.e. LCM of 21,8262 is 57834.

GCF of Denominators means GCF of 675,4101 as per the given fractions.

GCF of 675,4101 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,8262

LCM of Fractions 21/675,8262/4101 is 19278

3 21, 8262
7, 2754

∴ So the LCM of the given numbers is 3 x 7 x 2754 = 57834

Least Common Multiple of 21,8262 with GCF Formula

Least Common Multiple of 21,8262 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 21,8262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,8262) = 3

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

GCF(21,8262) x common factors =3 x 1 = 3

LCM(21,8262) = ( 21 × 8262 ) / 3

LCM(21,8262) = 173502 / 3

LCM(21,8262) = 57834


Lets's calculate GCF of 675,4101

3 675, 4101
225, 1367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57834/3

Therefore the LCM of Fractions 21/675,8262/4101 is 19278

Greatest Common Factor of 675,4101 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,4101 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1,3,1367,4101

Greatest Common Factor

We found the factors 675,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 675,4101 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 21/675, 8262/4101

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 21/675, 8262/4101?

Answer: LCM of Numerators as per given numbers 21/675, 8262/4101 is

LCM of Numerators i.e. for 21,8262 is 57834

GCF of denominators i.e. for 675,4101 is 3.

Thus, LCM of Fractions is 19278.Finally, LCM of Fractions for 21/675, 8262/4101 is 19278.