Least Common Multiple of 9809/14, 7014/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9809/14, 7014/470 quickly i.e. 34400163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9809/14, 7014/470 is 34400163.

LCM(9809/14, 7014/470) = 34400163

LCM of 9809/14, 7014/470

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 9809/14,7014/470

Given numbers are 9809/14,7014/470

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 9809,7014

Least Common Multiple of Numerators i.e. LCM of 9809,7014 is 68800326.

GCF of Denominators means GCF of 14,470 as per the given fractions.

GCF of 14,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9809,7014

LCM of Fractions 9809/14,7014/470 is 34400163

Given numbers has no common factors except 1. So, there LCM is their product i.e 68800326

Least Common Multiple of 9809,7014 with GCF Formula

Least Common Multiple of 9809,7014 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 9809,7014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9809,7014) = 1

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

GCF(9809,7014) x common factors =1 x 1 = 1

LCM(9809,7014) = ( 9809 × 7014 ) / 1

LCM(9809,7014) = 68800326 / 1

LCM(9809,7014) = 68800326


Lets's calculate GCF of 14,470

2 14, 470
7, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68800326/2

Therefore the LCM of Fractions 9809/14,7014/470 is 34400163

Greatest Common Factor of 14,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,470 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 14,470 . The biggest common factor number is the GCF number.
So the greatest common factor 14,470 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 9809/14, 7014/470

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 9809/14, 7014/470?

Answer: LCM of Numerators as per given numbers 9809/14, 7014/470 is

LCM of Numerators i.e. for 9809,7014 is 68800326

GCF of denominators i.e. for 14,470 is 2.

Thus, LCM of Fractions is 34400163.Finally, LCM of Fractions for 9809/14, 7014/470 is 34400163.