Least Common Multiple of 9703/689, 6307/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9703/689, 6307/208 quickly i.e. 61196821/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9703/689, 6307/208 is 61196821/13.

LCM(9703/689, 6307/208) = 61196821/13

LCM of 9703/689, 6307/208

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 9703/689,6307/208

Given numbers are 9703/689,6307/208

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 9703,6307

Least Common Multiple of Numerators i.e. LCM of 9703,6307 is 61196821.

GCF of Denominators means GCF of 689,208 as per the given fractions.

GCF of 689,208 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9703,6307

LCM of Fractions 9703/689,6307/208 is 61196821/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 61196821

Least Common Multiple of 9703,6307 with GCF Formula

Least Common Multiple of 9703,6307 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 9703,6307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9703,6307) = 1

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

GCF(9703,6307) x common factors =1 x 1 = 1

LCM(9703,6307) = ( 9703 × 6307 ) / 1

LCM(9703,6307) = 61196821 / 1

LCM(9703,6307) = 61196821


Lets's calculate GCF of 689,208

13 689, 208
53, 16

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61196821/13

Therefore the LCM of Fractions 9703/689,6307/208 is 61196821/13

Greatest Common Factor of 689,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,208 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 689,208 . The biggest common factor number is the GCF number.
So the greatest common factor 689,208 is 13.


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 9703/689, 6307/208

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 9703/689, 6307/208?

Answer: LCM of Numerators as per given numbers 9703/689, 6307/208 is

LCM of Numerators i.e. for 9703,6307 is 61196821

GCF of denominators i.e. for 689,208 is 13.

Thus, LCM of Fractions is 61196821/13.Finally, LCM of Fractions for 9703/689, 6307/208 is 61196821/13.