Least Common Multiple of 2289/828, 3211/1247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2289/828, 3211/1247 quickly i.e. 7349979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2289/828, 3211/1247 is 7349979.

LCM(2289/828, 3211/1247) = 7349979

LCM of 2289/828, 3211/1247

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 2289/828,3211/1247

Given numbers are 2289/828,3211/1247

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 2289,3211

Least Common Multiple of Numerators i.e. LCM of 2289,3211 is 7349979.

GCF of Denominators means GCF of 828,1247 as per the given fractions.

GCF of 828,1247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2289,3211

LCM of Fractions 2289/828,3211/1247 is 7349979

Given numbers has no common factors except 1. So, there LCM is their product i.e 7349979

Least Common Multiple of 2289,3211 with GCF Formula

Least Common Multiple of 2289,3211 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 2289,3211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2289,3211) = 1

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

GCF(2289,3211) x common factors =1 x 1 = 1

LCM(2289,3211) = ( 2289 × 3211 ) / 1

LCM(2289,3211) = 7349979 / 1

LCM(2289,3211) = 7349979


Lets's calculate GCF of 828,1247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7349979/1

Therefore the LCM of Fractions 2289/828,3211/1247 is 7349979

Greatest Common Factor of 828,1247 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,1247 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 1247

List of positive integer factors of 1247 that divides 1247 without a remainder.

1,29,43,1247

Greatest Common Factor

We found the factors 828,1247 . The biggest common factor number is the GCF number.
So the greatest common factor 828,1247 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 2289/828, 3211/1247

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 2289/828, 3211/1247?

Answer: LCM of Numerators as per given numbers 2289/828, 3211/1247 is

LCM of Numerators i.e. for 2289,3211 is 7349979

GCF of denominators i.e. for 828,1247 is 1.

Thus, LCM of Fractions is 7349979.Finally, LCM of Fractions for 2289/828, 3211/1247 is 7349979.