Least Common Multiple of 9869/366, 8448/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9869/366, 8448/813 quickly i.e. 27791104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9869/366, 8448/813 is 27791104.

LCM(9869/366, 8448/813) = 27791104

LCM of 9869/366, 8448/813

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 9869/366,8448/813

Given numbers are 9869/366,8448/813

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 9869,8448

Least Common Multiple of Numerators i.e. LCM of 9869,8448 is 83373312.

GCF of Denominators means GCF of 366,813 as per the given fractions.

GCF of 366,813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9869,8448

LCM of Fractions 9869/366,8448/813 is 27791104

Given numbers has no common factors except 1. So, there LCM is their product i.e 83373312

Least Common Multiple of 9869,8448 with GCF Formula

Least Common Multiple of 9869,8448 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 9869,8448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9869,8448) = 1

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

GCF(9869,8448) x common factors =1 x 1 = 1

LCM(9869,8448) = ( 9869 × 8448 ) / 1

LCM(9869,8448) = 83373312 / 1

LCM(9869,8448) = 83373312


Lets's calculate GCF of 366,813

3 366, 813
122, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83373312/3

Therefore the LCM of Fractions 9869/366,8448/813 is 27791104

Greatest Common Factor of 366,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,813 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 366,813 . The biggest common factor number is the GCF number.
So the greatest common factor 366,813 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 9869/366, 8448/813

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 9869/366, 8448/813?

Answer: LCM of Numerators as per given numbers 9869/366, 8448/813 is

LCM of Numerators i.e. for 9869,8448 is 83373312

GCF of denominators i.e. for 366,813 is 3.

Thus, LCM of Fractions is 27791104.Finally, LCM of Fractions for 9869/366, 8448/813 is 27791104.