Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/582, 51/688, 460/639 quickly i.e. 164220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/582, 51/688, 460/639 is 164220.
LCM(28/582, 51/688, 460/639) = 164220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/582,51/688,460/639
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 28,51,460
Least Common Multiple of Numerators i.e. LCM of 28,51,460 is 164220.
GCF of Denominators means GCF of 582,688,639 as per the given fractions.
GCF of 582,688,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,51,460
2 | 28, 51, 460 |
2 | 14, 51, 230 |
7, 51, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 51 x 115 = 164220
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 28,51,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,51,460) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,51,460) x common factors =1 x 4 = 4
LCM(28,51,460) = ( 28 × 51 × 460 ) / 4
LCM(28,51,460) = 656880 / 4
LCM(28,51,460) = 164220
Lets's calculate GCF of 582,688,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164220/1
Therefore the LCM of Fractions 28/582,51/688,460/639 is 164220
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 582,688,639 . The biggest common factor number is the GCF number.
So the greatest common factor 582,688,639 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 28/582, 51/688, 460/639?
Answer: LCM of Numerators as per given numbers 28/582, 51/688, 460/639 is
LCM of Numerators i.e. for 28,51,460 is 164220
GCF of denominators i.e. for 582,688,639 is 1.
Thus, LCM of Fractions is 164220.Finally, LCM of Fractions for 28/582, 51/688, 460/639 is 164220.