Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/890, 53/231, 337/863 quickly i.e. 17861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/890, 53/231, 337/863 is 17861.
LCM(53/890, 53/231, 337/863) = 17861
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/890,53/231,337/863
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 53,53,337
Least Common Multiple of Numerators i.e. LCM of 53,53,337 is 17861.
GCF of Denominators means GCF of 890,231,863 as per the given fractions.
GCF of 890,231,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,53,337
53 | 53, 53, 337 |
1, 1, 337 |
∴ So the LCM of the given numbers is 53 x 1 x 1 x 337 = 17861
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 53,53,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,53,337) = 1
common factors(in case of two or more numbers have common factors) = 53
GCF(53,53,337) x common factors =1 x 53 = 53
LCM(53,53,337) = ( 53 × 53 × 337 ) / 53
LCM(53,53,337) = 946633 / 53
LCM(53,53,337) = 17861
Lets's calculate GCF of 890,231,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17861/1
Therefore the LCM of Fractions 53/890,53/231,337/863 is 17861
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 890,231,863 . The biggest common factor number is the GCF number.
So the greatest common factor 890,231,863 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 53/890, 53/231, 337/863?
Answer: LCM of Numerators as per given numbers 53/890, 53/231, 337/863 is
LCM of Numerators i.e. for 53,53,337 is 17861
GCF of denominators i.e. for 890,231,863 is 1.
Thus, LCM of Fractions is 17861.Finally, LCM of Fractions for 53/890, 53/231, 337/863 is 17861.