Least Common Multiple of 9213/788, 5595/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9213/788, 5595/383 quickly i.e. 17182245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9213/788, 5595/383 is 17182245.

LCM(9213/788, 5595/383) = 17182245

LCM of 9213/788, 5595/383

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 9213/788,5595/383

Given numbers are 9213/788,5595/383

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 9213,5595

Least Common Multiple of Numerators i.e. LCM of 9213,5595 is 17182245.

GCF of Denominators means GCF of 788,383 as per the given fractions.

GCF of 788,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9213,5595

LCM of Fractions 9213/788,5595/383 is 17182245

3 9213, 5595
3071, 1865

∴ So the LCM of the given numbers is 3 x 3071 x 1865 = 17182245

Least Common Multiple of 9213,5595 with GCF Formula

Least Common Multiple of 9213,5595 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 9213,5595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9213,5595) = 3

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

GCF(9213,5595) x common factors =3 x 1 = 3

LCM(9213,5595) = ( 9213 × 5595 ) / 3

LCM(9213,5595) = 51546735 / 3

LCM(9213,5595) = 17182245


Lets's calculate GCF of 788,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17182245/1

Therefore the LCM of Fractions 9213/788,5595/383 is 17182245

Greatest Common Factor of 788,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,383 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 788,383 . The biggest common factor number is the GCF number.
So the greatest common factor 788,383 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 9213/788, 5595/383

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 9213/788, 5595/383?

Answer: LCM of Numerators as per given numbers 9213/788, 5595/383 is

LCM of Numerators i.e. for 9213,5595 is 17182245

GCF of denominators i.e. for 788,383 is 1.

Thus, LCM of Fractions is 17182245.Finally, LCM of Fractions for 9213/788, 5595/383 is 17182245.