Least Common Multiple of 8401/398, 1665/5723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8401/398, 1665/5723 quickly i.e. 13987665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8401/398, 1665/5723 is 13987665.

LCM(8401/398, 1665/5723) = 13987665

LCM of 8401/398, 1665/5723

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 8401/398,1665/5723

Given numbers are 8401/398,1665/5723

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 8401,1665

Least Common Multiple of Numerators i.e. LCM of 8401,1665 is 13987665.

GCF of Denominators means GCF of 398,5723 as per the given fractions.

GCF of 398,5723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8401,1665

LCM of Fractions 8401/398,1665/5723 is 13987665

Given numbers has no common factors except 1. So, there LCM is their product i.e 13987665

Least Common Multiple of 8401,1665 with GCF Formula

Least Common Multiple of 8401,1665 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 8401,1665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8401,1665) = 1

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

GCF(8401,1665) x common factors =1 x 1 = 1

LCM(8401,1665) = ( 8401 × 1665 ) / 1

LCM(8401,1665) = 13987665 / 1

LCM(8401,1665) = 13987665


Lets's calculate GCF of 398,5723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13987665/1

Therefore the LCM of Fractions 8401/398,1665/5723 is 13987665

Greatest Common Factor of 398,5723 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,5723 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 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1,59,97,5723

Greatest Common Factor

We found the factors 398,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 398,5723 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 8401/398, 1665/5723

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 8401/398, 1665/5723?

Answer: LCM of Numerators as per given numbers 8401/398, 1665/5723 is

LCM of Numerators i.e. for 8401,1665 is 13987665

GCF of denominators i.e. for 398,5723 is 1.

Thus, LCM of Fractions is 13987665.Finally, LCM of Fractions for 8401/398, 1665/5723 is 13987665.