Least Common Multiple of 3965/21, 1775/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3965/21, 1775/363 quickly i.e. 1407575/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3965/21, 1775/363 is 1407575/3.

LCM(3965/21, 1775/363) = 1407575/3

LCM of 3965/21, 1775/363

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 3965/21,1775/363

Given numbers are 3965/21,1775/363

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 3965,1775

Least Common Multiple of Numerators i.e. LCM of 3965,1775 is 1407575.

GCF of Denominators means GCF of 21,363 as per the given fractions.

GCF of 21,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3965,1775

LCM of Fractions 3965/21,1775/363 is 1407575/3

5 3965, 1775
793, 355

∴ So the LCM of the given numbers is 5 x 793 x 355 = 1407575

Least Common Multiple of 3965,1775 with GCF Formula

Least Common Multiple of 3965,1775 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 3965,1775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3965,1775) = 5

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

GCF(3965,1775) x common factors =5 x 1 = 5

LCM(3965,1775) = ( 3965 × 1775 ) / 5

LCM(3965,1775) = 7037875 / 5

LCM(3965,1775) = 1407575


Lets's calculate GCF of 21,363

3 21, 363
7, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1407575/3

Therefore the LCM of Fractions 3965/21,1775/363 is 1407575/3

Greatest Common Factor of 21,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,363 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 21,363 . The biggest common factor number is the GCF number.
So the greatest common factor 21,363 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 3965/21, 1775/363

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 3965/21, 1775/363?

Answer: LCM of Numerators as per given numbers 3965/21, 1775/363 is

LCM of Numerators i.e. for 3965,1775 is 1407575

GCF of denominators i.e. for 21,363 is 3.

Thus, LCM of Fractions is 1407575/3.Finally, LCM of Fractions for 3965/21, 1775/363 is 1407575/3.