Least Common Multiple of 829/18, 708/9304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/18, 708/9304 quickly i.e. 293466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/18, 708/9304 is 293466.

LCM(829/18, 708/9304) = 293466

LCM of 829/18, 708/9304

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 829/18,708/9304

Given numbers are 829/18,708/9304

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 829,708

Least Common Multiple of Numerators i.e. LCM of 829,708 is 586932.

GCF of Denominators means GCF of 18,9304 as per the given fractions.

GCF of 18,9304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,708

LCM of Fractions 829/18,708/9304 is 293466

Given numbers has no common factors except 1. So, there LCM is their product i.e 586932

Least Common Multiple of 829,708 with GCF Formula

Least Common Multiple of 829,708 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 829,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,708) = 1

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

GCF(829,708) x common factors =1 x 1 = 1

LCM(829,708) = ( 829 × 708 ) / 1

LCM(829,708) = 586932 / 1

LCM(829,708) = 586932


Lets's calculate GCF of 18,9304

2 18, 9304
9, 4652

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586932/2

Therefore the LCM of Fractions 829/18,708/9304 is 293466

Greatest Common Factor of 18,9304 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,9304 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

Greatest Common Factor

We found the factors 18,9304 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9304 is 2.


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 829/18, 708/9304

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 829/18, 708/9304?

Answer: LCM of Numerators as per given numbers 829/18, 708/9304 is

LCM of Numerators i.e. for 829,708 is 586932

GCF of denominators i.e. for 18,9304 is 2.

Thus, LCM of Fractions is 293466.Finally, LCM of Fractions for 829/18, 708/9304 is 293466.