Least Common Multiple of 7823/398, 7089/3664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7823/398, 7089/3664 quickly i.e. 55457247/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7823/398, 7089/3664 is 55457247/2.

LCM(7823/398, 7089/3664) = 55457247/2

LCM of 7823/398, 7089/3664

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 7823/398,7089/3664

Given numbers are 7823/398,7089/3664

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 7823,7089

Least Common Multiple of Numerators i.e. LCM of 7823,7089 is 55457247.

GCF of Denominators means GCF of 398,3664 as per the given fractions.

GCF of 398,3664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7823,7089

LCM of Fractions 7823/398,7089/3664 is 55457247/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 55457247

Least Common Multiple of 7823,7089 with GCF Formula

Least Common Multiple of 7823,7089 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 7823,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7823,7089) = 1

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

GCF(7823,7089) x common factors =1 x 1 = 1

LCM(7823,7089) = ( 7823 × 7089 ) / 1

LCM(7823,7089) = 55457247 / 1

LCM(7823,7089) = 55457247


Lets's calculate GCF of 398,3664

2 398, 3664
199, 1832

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55457247/2

Therefore the LCM of Fractions 7823/398,7089/3664 is 55457247/2

Greatest Common Factor of 398,3664 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,3664 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors 398,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 398,3664 is 2.


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 7823/398, 7089/3664

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 7823/398, 7089/3664?

Answer: LCM of Numerators as per given numbers 7823/398, 7089/3664 is

LCM of Numerators i.e. for 7823,7089 is 55457247

GCF of denominators i.e. for 398,3664 is 2.

Thus, LCM of Fractions is 55457247/2.Finally, LCM of Fractions for 7823/398, 7089/3664 is 55457247/2.