Least Common Multiple of 8328/604, 3068/9835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8328/604, 3068/9835 quickly i.e. 6387576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8328/604, 3068/9835 is 6387576.

LCM(8328/604, 3068/9835) = 6387576

LCM of 8328/604, 3068/9835

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 8328/604,3068/9835

Given numbers are 8328/604,3068/9835

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 8328,3068

Least Common Multiple of Numerators i.e. LCM of 8328,3068 is 6387576.

GCF of Denominators means GCF of 604,9835 as per the given fractions.

GCF of 604,9835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8328,3068

LCM of Fractions 8328/604,3068/9835 is 6387576

2 8328, 3068
2 4164, 1534
2082, 767

∴ So the LCM of the given numbers is 2 x 2 x 2082 x 767 = 6387576

Least Common Multiple of 8328,3068 with GCF Formula

Least Common Multiple of 8328,3068 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 8328,3068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8328,3068) = 4

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

GCF(8328,3068) x common factors =4 x 1 = 4

LCM(8328,3068) = ( 8328 × 3068 ) / 4

LCM(8328,3068) = 25550304 / 4

LCM(8328,3068) = 6387576


Lets's calculate GCF of 604,9835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6387576/1

Therefore the LCM of Fractions 8328/604,3068/9835 is 6387576

Greatest Common Factor of 604,9835 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,9835 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 9835

List of positive integer factors of 9835 that divides 9835 without a remainder.

1,5,7,35,281,1405,1967,9835

Greatest Common Factor

We found the factors 604,9835 . The biggest common factor number is the GCF number.
So the greatest common factor 604,9835 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8328/604, 3068/9835

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 8328/604, 3068/9835?

Answer: LCM of Numerators as per given numbers 8328/604, 3068/9835 is

LCM of Numerators i.e. for 8328,3068 is 6387576

GCF of denominators i.e. for 604,9835 is 1.

Thus, LCM of Fractions is 6387576.Finally, LCM of Fractions for 8328/604, 3068/9835 is 6387576.