Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 730/82, 654/4733 quickly i.e. 238710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 730/82, 654/4733 is 238710.
LCM(730/82, 654/4733) = 238710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 730/82,654/4733
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 730,654
Least Common Multiple of Numerators i.e. LCM of 730,654 is 238710.
GCF of Denominators means GCF of 82,4733 as per the given fractions.
GCF of 82,4733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 730,654
2 | 730, 654 |
365, 327 |
∴ So the LCM of the given numbers is 2 x 365 x 327 = 238710
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 730,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,654) x common factors =2 x 1 = 2
LCM(730,654) = ( 730 × 654 ) / 2
LCM(730,654) = 477420 / 2
LCM(730,654) = 238710
Lets's calculate GCF of 82,4733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238710/1
Therefore the LCM of Fractions 730/82,654/4733 is 238710
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4733
List of positive integer factors of 4733 that divides 4733 without a remainder.
1,4733
Greatest Common Factor
We found the factors 82,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4733 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 730/82, 654/4733?
Answer: LCM of Numerators as per given numbers 730/82, 654/4733 is
LCM of Numerators i.e. for 730,654 is 238710
GCF of denominators i.e. for 82,4733 is 1.
Thus, LCM of Fractions is 238710.Finally, LCM of Fractions for 730/82, 654/4733 is 238710.