Least Common Multiple of 458/15, 829/9794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/15, 829/9794 quickly i.e. 379682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/15, 829/9794 is 379682.

LCM(458/15, 829/9794) = 379682

LCM of 458/15, 829/9794

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 458/15,829/9794

Given numbers are 458/15,829/9794

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 458,829

Least Common Multiple of Numerators i.e. LCM of 458,829 is 379682.

GCF of Denominators means GCF of 15,9794 as per the given fractions.

GCF of 15,9794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,829

LCM of Fractions 458/15,829/9794 is 379682

Given numbers has no common factors except 1. So, there LCM is their product i.e 379682

Least Common Multiple of 458,829 with GCF Formula

Least Common Multiple of 458,829 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 458,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,829) = 1

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

GCF(458,829) x common factors =1 x 1 = 1

LCM(458,829) = ( 458 × 829 ) / 1

LCM(458,829) = 379682 / 1

LCM(458,829) = 379682


Lets's calculate GCF of 15,9794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379682/1

Therefore the LCM of Fractions 458/15,829/9794 is 379682

Greatest Common Factor of 15,9794 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,9794 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 9794

List of positive integer factors of 9794 that divides 9794 without a remainder.

1,2,59,83,118,166,4897,9794

Greatest Common Factor

We found the factors 15,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 15,9794 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 458/15, 829/9794

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 458/15, 829/9794?

Answer: LCM of Numerators as per given numbers 458/15, 829/9794 is

LCM of Numerators i.e. for 458,829 is 379682

GCF of denominators i.e. for 15,9794 is 1.

Thus, LCM of Fractions is 379682.Finally, LCM of Fractions for 458/15, 829/9794 is 379682.