Least Common Multiple of 9686/412, 6600/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9686/412, 6600/103 quickly i.e. 31963800/103 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9686/412, 6600/103 is 31963800/103.

LCM(9686/412, 6600/103) = 31963800/103

LCM of 9686/412, 6600/103

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 9686/412,6600/103

Given numbers are 9686/412,6600/103

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 9686,6600

Least Common Multiple of Numerators i.e. LCM of 9686,6600 is 31963800.

GCF of Denominators means GCF of 412,103 as per the given fractions.

GCF of 412,103 is 103 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9686,6600

LCM of Fractions 9686/412,6600/103 is 31963800/103

2 9686, 6600
4843, 3300

∴ So the LCM of the given numbers is 2 x 4843 x 3300 = 31963800

Least Common Multiple of 9686,6600 with GCF Formula

Least Common Multiple of 9686,6600 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 9686,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9686,6600) = 2

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

GCF(9686,6600) x common factors =2 x 1 = 2

LCM(9686,6600) = ( 9686 × 6600 ) / 2

LCM(9686,6600) = 63927600 / 2

LCM(9686,6600) = 31963800


Lets's calculate GCF of 412,103

103 412, 103
4, 1

∴ So the GCF of the given numbers is 103 = 103

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31963800/103

Therefore the LCM of Fractions 9686/412,6600/103 is 31963800/103

Greatest Common Factor of 412,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,103 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 412,103 . The biggest common factor number is the GCF number.
So the greatest common factor 412,103 is 103.


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 9686/412, 6600/103

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 9686/412, 6600/103?

Answer: LCM of Numerators as per given numbers 9686/412, 6600/103 is

LCM of Numerators i.e. for 9686,6600 is 31963800

GCF of denominators i.e. for 412,103 is 103.

Thus, LCM of Fractions is 31963800/103.Finally, LCM of Fractions for 9686/412, 6600/103 is 31963800/103.