Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/854, 87/114, 424/743 quickly i.e. 258216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/854, 87/114, 424/743 is 258216.
LCM(14/854, 87/114, 424/743) = 258216
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/854,87/114,424/743
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 14,87,424
Least Common Multiple of Numerators i.e. LCM of 14,87,424 is 258216.
GCF of Denominators means GCF of 854,114,743 as per the given fractions.
GCF of 854,114,743 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,87,424
2 | 14, 87, 424 |
7, 87, 212 |
∴ So the LCM of the given numbers is 2 x 7 x 87 x 212 = 258216
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 14,87,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,87,424) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,87,424) x common factors =1 x 2 = 2
LCM(14,87,424) = ( 14 × 87 × 424 ) / 2
LCM(14,87,424) = 516432 / 2
LCM(14,87,424) = 258216
Lets's calculate GCF of 854,114,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258216/1
Therefore the LCM of Fractions 14/854,87/114,424/743 is 258216
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Greatest Common Factor
We found the factors 854,114,743 . The biggest common factor number is the GCF number.
So the greatest common factor 854,114,743 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 14/854, 87/114, 424/743?
Answer: LCM of Numerators as per given numbers 14/854, 87/114, 424/743 is
LCM of Numerators i.e. for 14,87,424 is 258216
GCF of denominators i.e. for 854,114,743 is 1.
Thus, LCM of Fractions is 258216.Finally, LCM of Fractions for 14/854, 87/114, 424/743 is 258216.