Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/435, 86/592, 953/159 quickly i.e. 1393286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/435, 86/592, 953/159 is 1393286.
LCM(34/435, 86/592, 953/159) = 1393286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/435,86/592,953/159
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 34,86,953
Least Common Multiple of Numerators i.e. LCM of 34,86,953 is 1393286.
GCF of Denominators means GCF of 435,592,159 as per the given fractions.
GCF of 435,592,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,86,953
2 | 34, 86, 953 |
17, 43, 953 |
∴ So the LCM of the given numbers is 2 x 17 x 43 x 953 = 1393286
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 34,86,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,86,953) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,86,953) x common factors =1 x 2 = 2
LCM(34,86,953) = ( 34 × 86 × 953 ) / 2
LCM(34,86,953) = 2786572 / 2
LCM(34,86,953) = 1393286
Lets's calculate GCF of 435,592,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1393286/1
Therefore the LCM of Fractions 34/435,86/592,953/159 is 1393286
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 435,592,159 . The biggest common factor number is the GCF number.
So the greatest common factor 435,592,159 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 34/435, 86/592, 953/159?
Answer: LCM of Numerators as per given numbers 34/435, 86/592, 953/159 is
LCM of Numerators i.e. for 34,86,953 is 1393286
GCF of denominators i.e. for 435,592,159 is 1.
Thus, LCM of Fractions is 1393286.Finally, LCM of Fractions for 34/435, 86/592, 953/159 is 1393286.