Least Common Multiple of 482/69, 746/8091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 482/69, 746/8091 quickly i.e. 179786/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 482/69, 746/8091 is 179786/3.

LCM(482/69, 746/8091) = 179786/3

LCM of 482/69, 746/8091

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 482/69,746/8091

Given numbers are 482/69,746/8091

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 482,746

Least Common Multiple of Numerators i.e. LCM of 482,746 is 179786.

GCF of Denominators means GCF of 69,8091 as per the given fractions.

GCF of 69,8091 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 482,746

LCM of Fractions 482/69,746/8091 is 179786/3

2 482, 746
241, 373

∴ So the LCM of the given numbers is 2 x 241 x 373 = 179786

Least Common Multiple of 482,746 with GCF Formula

Least Common Multiple of 482,746 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 482,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,746) = 2

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

GCF(482,746) x common factors =2 x 1 = 2

LCM(482,746) = ( 482 × 746 ) / 2

LCM(482,746) = 359572 / 2

LCM(482,746) = 179786


Lets's calculate GCF of 69,8091

3 69, 8091
23, 2697

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179786/3

Therefore the LCM of Fractions 482/69,746/8091 is 179786/3

Greatest Common Factor of 69,8091 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,8091 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1,3,9,29,31,87,93,261,279,899,2697,8091

Greatest Common Factor

We found the factors 69,8091 . The biggest common factor number is the GCF number.
So the greatest common factor 69,8091 is 3.


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 482/69, 746/8091

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 482/69, 746/8091?

Answer: LCM of Numerators as per given numbers 482/69, 746/8091 is

LCM of Numerators i.e. for 482,746 is 179786

GCF of denominators i.e. for 69,8091 is 3.

Thus, LCM of Fractions is 179786/3.Finally, LCM of Fractions for 482/69, 746/8091 is 179786/3.