Least Common Multiple of 617/352, 8319/6663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/352, 8319/6663 quickly i.e. 5132823 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/352, 8319/6663 is 5132823.

LCM(617/352, 8319/6663) = 5132823

LCM of 617/352, 8319/6663

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 617/352,8319/6663

Given numbers are 617/352,8319/6663

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 617,8319

Least Common Multiple of Numerators i.e. LCM of 617,8319 is 5132823.

GCF of Denominators means GCF of 352,6663 as per the given fractions.

GCF of 352,6663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,8319

LCM of Fractions 617/352,8319/6663 is 5132823

Given numbers has no common factors except 1. So, there LCM is their product i.e 5132823

Least Common Multiple of 617,8319 with GCF Formula

Least Common Multiple of 617,8319 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 617,8319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,8319) = 1

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

GCF(617,8319) x common factors =1 x 1 = 1

LCM(617,8319) = ( 617 × 8319 ) / 1

LCM(617,8319) = 5132823 / 1

LCM(617,8319) = 5132823


Lets's calculate GCF of 352,6663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5132823/1

Therefore the LCM of Fractions 617/352,8319/6663 is 5132823

Greatest Common Factor of 352,6663 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,6663 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 6663

List of positive integer factors of 6663 that divides 6663 without a remainder.

1,3,2221,6663

Greatest Common Factor

We found the factors 352,6663 . The biggest common factor number is the GCF number.
So the greatest common factor 352,6663 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 617/352, 8319/6663

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 617/352, 8319/6663?

Answer: LCM of Numerators as per given numbers 617/352, 8319/6663 is

LCM of Numerators i.e. for 617,8319 is 5132823

GCF of denominators i.e. for 352,6663 is 1.

Thus, LCM of Fractions is 5132823.Finally, LCM of Fractions for 617/352, 8319/6663 is 5132823.