Least Common Multiple of 22/882, 1463/5089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/882, 1463/5089 quickly i.e. 418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/882, 1463/5089 is 418.

LCM(22/882, 1463/5089) = 418

LCM of 22/882, 1463/5089

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 22/882,1463/5089

Given numbers are 22/882,1463/5089

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 22,1463

Least Common Multiple of Numerators i.e. LCM of 22,1463 is 2926.

GCF of Denominators means GCF of 882,5089 as per the given fractions.

GCF of 882,5089 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,1463

LCM of Fractions 22/882,1463/5089 is 418

11 22, 1463
2, 133

∴ So the LCM of the given numbers is 11 x 2 x 133 = 2926

Least Common Multiple of 22,1463 with GCF Formula

Least Common Multiple of 22,1463 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 22,1463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,1463) = 11

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

GCF(22,1463) x common factors =11 x 1 = 11

LCM(22,1463) = ( 22 × 1463 ) / 11

LCM(22,1463) = 32186 / 11

LCM(22,1463) = 2926


Lets's calculate GCF of 882,5089

7 882, 5089
126, 727

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2926/7

Therefore the LCM of Fractions 22/882,1463/5089 is 418

Greatest Common Factor of 882,5089 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,5089 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1,7,727,5089

Greatest Common Factor

We found the factors 882,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 882,5089 is 7.


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 22/882, 1463/5089

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 22/882, 1463/5089?

Answer: LCM of Numerators as per given numbers 22/882, 1463/5089 is

LCM of Numerators i.e. for 22,1463 is 2926

GCF of denominators i.e. for 882,5089 is 7.

Thus, LCM of Fractions is 418.Finally, LCM of Fractions for 22/882, 1463/5089 is 418.