Least Common Multiple of 363/11, 771/3417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/11, 771/3417 quickly i.e. 93291 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/11, 771/3417 is 93291.

LCM(363/11, 771/3417) = 93291

LCM of 363/11, 771/3417

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 363/11,771/3417

Given numbers are 363/11,771/3417

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 363,771

Least Common Multiple of Numerators i.e. LCM of 363,771 is 93291.

GCF of Denominators means GCF of 11,3417 as per the given fractions.

GCF of 11,3417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,771

LCM of Fractions 363/11,771/3417 is 93291

3 363, 771
121, 257

∴ So the LCM of the given numbers is 3 x 121 x 257 = 93291

Least Common Multiple of 363,771 with GCF Formula

Least Common Multiple of 363,771 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 363,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,771) = 3

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

GCF(363,771) x common factors =3 x 1 = 3

LCM(363,771) = ( 363 × 771 ) / 3

LCM(363,771) = 279873 / 3

LCM(363,771) = 93291


Lets's calculate GCF of 11,3417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93291/1

Therefore the LCM of Fractions 363/11,771/3417 is 93291

Greatest Common Factor of 11,3417 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,3417 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1,3,17,51,67,201,1139,3417

Greatest Common Factor

We found the factors 11,3417 . The biggest common factor number is the GCF number.
So the greatest common factor 11,3417 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 363/11, 771/3417

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 363/11, 771/3417?

Answer: LCM of Numerators as per given numbers 363/11, 771/3417 is

LCM of Numerators i.e. for 363,771 is 93291

GCF of denominators i.e. for 11,3417 is 1.

Thus, LCM of Fractions is 93291.Finally, LCM of Fractions for 363/11, 771/3417 is 93291.