Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/844, 90/542, 821/289 quickly i.e. 1256130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/844, 90/542, 821/289 is 1256130.
LCM(51/844, 90/542, 821/289) = 1256130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/844,90/542,821/289
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 51,90,821
Least Common Multiple of Numerators i.e. LCM of 51,90,821 is 1256130.
GCF of Denominators means GCF of 844,542,289 as per the given fractions.
GCF of 844,542,289 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,90,821
3 | 51, 90, 821 |
17, 30, 821 |
∴ So the LCM of the given numbers is 3 x 17 x 30 x 821 = 1256130
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 51,90,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,90,821) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,90,821) x common factors =1 x 3 = 3
LCM(51,90,821) = ( 51 × 90 × 821 ) / 3
LCM(51,90,821) = 3768390 / 3
LCM(51,90,821) = 1256130
Lets's calculate GCF of 844,542,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1256130/1
Therefore the LCM of Fractions 51/844,90/542,821/289 is 1256130
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 844,542,289 . The biggest common factor number is the GCF number.
So the greatest common factor 844,542,289 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 51/844, 90/542, 821/289?
Answer: LCM of Numerators as per given numbers 51/844, 90/542, 821/289 is
LCM of Numerators i.e. for 51,90,821 is 1256130
GCF of denominators i.e. for 844,542,289 is 1.
Thus, LCM of Fractions is 1256130.Finally, LCM of Fractions for 51/844, 90/542, 821/289 is 1256130.