Least Common Multiple of 363/266, 829/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/266, 829/390 quickly i.e. 300927/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/266, 829/390 is 300927/2.

LCM(363/266, 829/390) = 300927/2

LCM of 363/266, 829/390

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 363/266,829/390

Given numbers are 363/266,829/390

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 363,829

Least Common Multiple of Numerators i.e. LCM of 363,829 is 300927.

GCF of Denominators means GCF of 266,390 as per the given fractions.

GCF of 266,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,829

LCM of Fractions 363/266,829/390 is 300927/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 300927

Least Common Multiple of 363,829 with GCF Formula

Least Common Multiple of 363,829 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 363,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,829) = 1

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

GCF(363,829) x common factors =1 x 1 = 1

LCM(363,829) = ( 363 × 829 ) / 1

LCM(363,829) = 300927 / 1

LCM(363,829) = 300927


Lets's calculate GCF of 266,390

2 266, 390
133, 195

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300927/2

Therefore the LCM of Fractions 363/266,829/390 is 300927/2

Greatest Common Factor of 266,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,390 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 266,390 . The biggest common factor number is the GCF number.
So the greatest common factor 266,390 is 2.


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 363/266, 829/390

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 363/266, 829/390?

Answer: LCM of Numerators as per given numbers 363/266, 829/390 is

LCM of Numerators i.e. for 363,829 is 300927

GCF of denominators i.e. for 266,390 is 2.

Thus, LCM of Fractions is 300927/2.Finally, LCM of Fractions for 363/266, 829/390 is 300927/2.