Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/959, 86/888, 743/574 quickly i.e. 1214062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/959, 86/888, 743/574 is 1214062.
LCM(19/959, 86/888, 743/574) = 1214062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/959,86/888,743/574
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 19,86,743
Least Common Multiple of Numerators i.e. LCM of 19,86,743 is 1214062.
GCF of Denominators means GCF of 959,888,574 as per the given fractions.
GCF of 959,888,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,86,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 1214062
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 19,86,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,86,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,86,743) x common factors =1 x 1 = 1
LCM(19,86,743) = ( 19 × 86 × 743 ) / 1
LCM(19,86,743) = 1214062 / 1
LCM(19,86,743) = 1214062
Lets's calculate GCF of 959,888,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214062/1
Therefore the LCM of Fractions 19/959,86/888,743/574 is 1214062
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 959,888,574 . The biggest common factor number is the GCF number.
So the greatest common factor 959,888,574 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 19/959, 86/888, 743/574?
Answer: LCM of Numerators as per given numbers 19/959, 86/888, 743/574 is
LCM of Numerators i.e. for 19,86,743 is 1214062
GCF of denominators i.e. for 959,888,574 is 1.
Thus, LCM of Fractions is 1214062.Finally, LCM of Fractions for 19/959, 86/888, 743/574 is 1214062.