Least Common Multiple of 9988/340, 8052/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9988/340, 8052/723 quickly i.e. 1827804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9988/340, 8052/723 is 1827804.

LCM(9988/340, 8052/723) = 1827804

LCM of 9988/340, 8052/723

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 9988/340,8052/723

Given numbers are 9988/340,8052/723

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 9988,8052

Least Common Multiple of Numerators i.e. LCM of 9988,8052 is 1827804.

GCF of Denominators means GCF of 340,723 as per the given fractions.

GCF of 340,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9988,8052

LCM of Fractions 9988/340,8052/723 is 1827804

2 9988, 8052
2 4994, 4026
11 2497, 2013
227, 183

∴ So the LCM of the given numbers is 2 x 2 x 11 x 227 x 183 = 1827804

Least Common Multiple of 9988,8052 with GCF Formula

Least Common Multiple of 9988,8052 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 9988,8052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9988,8052) = 44

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

GCF(9988,8052) x common factors =44 x 1 = 44

LCM(9988,8052) = ( 9988 × 8052 ) / 44

LCM(9988,8052) = 80423376 / 44

LCM(9988,8052) = 1827804


Lets's calculate GCF of 340,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1827804/1

Therefore the LCM of Fractions 9988/340,8052/723 is 1827804

Greatest Common Factor of 340,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,723 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 340,723 . The biggest common factor number is the GCF number.
So the greatest common factor 340,723 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 9988/340, 8052/723

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 9988/340, 8052/723?

Answer: LCM of Numerators as per given numbers 9988/340, 8052/723 is

LCM of Numerators i.e. for 9988,8052 is 1827804

GCF of denominators i.e. for 340,723 is 1.

Thus, LCM of Fractions is 1827804.Finally, LCM of Fractions for 9988/340, 8052/723 is 1827804.