Least Common Multiple of 9600/106, 4285/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9600/106, 4285/217 quickly i.e. 8227200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9600/106, 4285/217 is 8227200.

LCM(9600/106, 4285/217) = 8227200

LCM of 9600/106, 4285/217

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 9600/106,4285/217

Given numbers are 9600/106,4285/217

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 9600,4285

Least Common Multiple of Numerators i.e. LCM of 9600,4285 is 8227200.

GCF of Denominators means GCF of 106,217 as per the given fractions.

GCF of 106,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9600,4285

LCM of Fractions 9600/106,4285/217 is 8227200

5 9600, 4285
1920, 857

∴ So the LCM of the given numbers is 5 x 1920 x 857 = 8227200

Least Common Multiple of 9600,4285 with GCF Formula

Least Common Multiple of 9600,4285 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 9600,4285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9600,4285) = 5

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

GCF(9600,4285) x common factors =5 x 1 = 5

LCM(9600,4285) = ( 9600 × 4285 ) / 5

LCM(9600,4285) = 41136000 / 5

LCM(9600,4285) = 8227200


Lets's calculate GCF of 106,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8227200/1

Therefore the LCM of Fractions 9600/106,4285/217 is 8227200

Greatest Common Factor of 106,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,217 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 106,217 . The biggest common factor number is the GCF number.
So the greatest common factor 106,217 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 9600/106, 4285/217

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 9600/106, 4285/217?

Answer: LCM of Numerators as per given numbers 9600/106, 4285/217 is

LCM of Numerators i.e. for 9600,4285 is 8227200

GCF of denominators i.e. for 106,217 is 1.

Thus, LCM of Fractions is 8227200.Finally, LCM of Fractions for 9600/106, 4285/217 is 8227200.