Least Common Multiple of 9349/288, 6382/4060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9349/288, 6382/4060 quickly i.e. 59665318/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9349/288, 6382/4060 is 59665318/4.

LCM(9349/288, 6382/4060) = 59665318/4

LCM of 9349/288, 6382/4060

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 9349/288,6382/4060

Given numbers are 9349/288,6382/4060

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 9349,6382

Least Common Multiple of Numerators i.e. LCM of 9349,6382 is 59665318.

GCF of Denominators means GCF of 288,4060 as per the given fractions.

GCF of 288,4060 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9349,6382

LCM of Fractions 9349/288,6382/4060 is 59665318/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 59665318

Least Common Multiple of 9349,6382 with GCF Formula

Least Common Multiple of 9349,6382 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 9349,6382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9349,6382) = 1

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

GCF(9349,6382) x common factors =1 x 1 = 1

LCM(9349,6382) = ( 9349 × 6382 ) / 1

LCM(9349,6382) = 59665318 / 1

LCM(9349,6382) = 59665318


Lets's calculate GCF of 288,4060

2 288, 4060
2 144, 2030
72, 1015

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59665318/4

Therefore the LCM of Fractions 9349/288,6382/4060 is 59665318/4

Greatest Common Factor of 288,4060 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,4060 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 4060

List of positive integer factors of 4060 that divides 4060 without a remainder.

1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060

Greatest Common Factor

We found the factors 288,4060 . The biggest common factor number is the GCF number.
So the greatest common factor 288,4060 is 4.


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 9349/288, 6382/4060

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 9349/288, 6382/4060?

Answer: LCM of Numerators as per given numbers 9349/288, 6382/4060 is

LCM of Numerators i.e. for 9349,6382 is 59665318

GCF of denominators i.e. for 288,4060 is 4.

Thus, LCM of Fractions is 59665318/4.Finally, LCM of Fractions for 9349/288, 6382/4060 is 59665318/4.