Least Common Multiple of 3588/96, 9235/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3588/96, 9235/609 quickly i.e. 11045060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3588/96, 9235/609 is 11045060.

LCM(3588/96, 9235/609) = 11045060

LCM of 3588/96, 9235/609

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 3588/96,9235/609

Given numbers are 3588/96,9235/609

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 3588,9235

Least Common Multiple of Numerators i.e. LCM of 3588,9235 is 33135180.

GCF of Denominators means GCF of 96,609 as per the given fractions.

GCF of 96,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3588,9235

LCM of Fractions 3588/96,9235/609 is 11045060

Given numbers has no common factors except 1. So, there LCM is their product i.e 33135180

Least Common Multiple of 3588,9235 with GCF Formula

Least Common Multiple of 3588,9235 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 3588,9235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3588,9235) = 1

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

GCF(3588,9235) x common factors =1 x 1 = 1

LCM(3588,9235) = ( 3588 × 9235 ) / 1

LCM(3588,9235) = 33135180 / 1

LCM(3588,9235) = 33135180


Lets's calculate GCF of 96,609

3 96, 609
32, 203

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33135180/3

Therefore the LCM of Fractions 3588/96,9235/609 is 11045060

Greatest Common Factor of 96,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,609 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 96,609 . The biggest common factor number is the GCF number.
So the greatest common factor 96,609 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3588/96, 9235/609

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 3588/96, 9235/609?

Answer: LCM of Numerators as per given numbers 3588/96, 9235/609 is

LCM of Numerators i.e. for 3588,9235 is 33135180

GCF of denominators i.e. for 96,609 is 3.

Thus, LCM of Fractions is 11045060.Finally, LCM of Fractions for 3588/96, 9235/609 is 11045060.