Least Common Multiple of 87/819, 1637/8823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/819, 1637/8823 quickly i.e. 47473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/819, 1637/8823 is 47473.

LCM(87/819, 1637/8823) = 47473

LCM of 87/819, 1637/8823

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 87/819,1637/8823

Given numbers are 87/819,1637/8823

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 87,1637

Least Common Multiple of Numerators i.e. LCM of 87,1637 is 142419.

GCF of Denominators means GCF of 819,8823 as per the given fractions.

GCF of 819,8823 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,1637

LCM of Fractions 87/819,1637/8823 is 47473

Given numbers has no common factors except 1. So, there LCM is their product i.e 142419

Least Common Multiple of 87,1637 with GCF Formula

Least Common Multiple of 87,1637 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 87,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,1637) = 1

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

GCF(87,1637) x common factors =1 x 1 = 1

LCM(87,1637) = ( 87 × 1637 ) / 1

LCM(87,1637) = 142419 / 1

LCM(87,1637) = 142419


Lets's calculate GCF of 819,8823

3 819, 8823
273, 2941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142419/3

Therefore the LCM of Fractions 87/819,1637/8823 is 47473

Greatest Common Factor of 819,8823 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,8823 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Greatest Common Factor

We found the factors 819,8823 . The biggest common factor number is the GCF number.
So the greatest common factor 819,8823 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 87/819, 1637/8823

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 87/819, 1637/8823?

Answer: LCM of Numerators as per given numbers 87/819, 1637/8823 is

LCM of Numerators i.e. for 87,1637 is 142419

GCF of denominators i.e. for 819,8823 is 3.

Thus, LCM of Fractions is 47473.Finally, LCM of Fractions for 87/819, 1637/8823 is 47473.