Least Common Multiple of 363/13, 913/19, 189/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/13, 913/19, 189/653 quickly i.e. 1898127 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/13, 913/19, 189/653 is 1898127.

LCM(363/13, 913/19, 189/653) = 1898127

LCM of 363/13, 913/19, 189/653

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 363/13,913/19,189/653

Given numbers are 363/13,913/19,189/653

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 363,913,189

Least Common Multiple of Numerators i.e. LCM of 363,913,189 is 1898127.

GCF of Denominators means GCF of 13,19,653 as per the given fractions.

GCF of 13,19,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,913,189

LCM of Fractions 363/13,913/19,189/653 is 1898127

3 363, 913, 189
11 121, 913, 63
11, 83, 63

∴ So the LCM of the given numbers is 3 x 11 x 11 x 83 x 63 = 1898127

Least Common Multiple of 363,913,189 with GCF Formula

Least Common Multiple of 363,913,189 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 363,913,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,913,189) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(363,913,189) x common factors =1 x 33 = 33

LCM(363,913,189) = ( 363 × 913 × 189 ) / 33

LCM(363,913,189) = 62638191 / 33

LCM(363,913,189) = 1898127


Lets's calculate GCF of 13,19,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1898127/1

Therefore the LCM of Fractions 363/13,913/19,189/653 is 1898127

Greatest Common Factor of 13,19,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,19,653 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 13,19,653 . The biggest common factor number is the GCF number.
So the greatest common factor 13,19,653 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 363/13, 913/19, 189/653

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 363/13, 913/19, 189/653?

Answer: LCM of Numerators as per given numbers 363/13, 913/19, 189/653 is

LCM of Numerators i.e. for 363,913,189 is 1898127

GCF of denominators i.e. for 13,19,653 is 1.

Thus, LCM of Fractions is 1898127.Finally, LCM of Fractions for 363/13, 913/19, 189/653 is 1898127.