Least Common Multiple of 9669/728, 6896/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9669/728, 6896/662 quickly i.e. 33338712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9669/728, 6896/662 is 33338712.

LCM(9669/728, 6896/662) = 33338712

LCM of 9669/728, 6896/662

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 9669/728,6896/662

Given numbers are 9669/728,6896/662

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 9669,6896

Least Common Multiple of Numerators i.e. LCM of 9669,6896 is 66677424.

GCF of Denominators means GCF of 728,662 as per the given fractions.

GCF of 728,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9669,6896

LCM of Fractions 9669/728,6896/662 is 33338712

Given numbers has no common factors except 1. So, there LCM is their product i.e 66677424

Least Common Multiple of 9669,6896 with GCF Formula

Least Common Multiple of 9669,6896 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 9669,6896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9669,6896) = 1

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

GCF(9669,6896) x common factors =1 x 1 = 1

LCM(9669,6896) = ( 9669 × 6896 ) / 1

LCM(9669,6896) = 66677424 / 1

LCM(9669,6896) = 66677424


Lets's calculate GCF of 728,662

2 728, 662
364, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66677424/2

Therefore the LCM of Fractions 9669/728,6896/662 is 33338712

Greatest Common Factor of 728,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,662 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 728,662 . The biggest common factor number is the GCF number.
So the greatest common factor 728,662 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 9669/728, 6896/662

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 9669/728, 6896/662?

Answer: LCM of Numerators as per given numbers 9669/728, 6896/662 is

LCM of Numerators i.e. for 9669,6896 is 66677424

GCF of denominators i.e. for 728,662 is 2.

Thus, LCM of Fractions is 33338712.Finally, LCM of Fractions for 9669/728, 6896/662 is 33338712.