Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/951, 438/583, 109/158 quickly i.e. 811614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/951, 438/583, 109/158 is 811614.
LCM(17/951, 438/583, 109/158) = 811614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/951,438/583,109/158
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 17,438,109
Least Common Multiple of Numerators i.e. LCM of 17,438,109 is 811614.
GCF of Denominators means GCF of 951,583,158 as per the given fractions.
GCF of 951,583,158 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,438,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 811614
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 17,438,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,438,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,438,109) x common factors =1 x 1 = 1
LCM(17,438,109) = ( 17 × 438 × 109 ) / 1
LCM(17,438,109) = 811614 / 1
LCM(17,438,109) = 811614
Lets's calculate GCF of 951,583,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811614/1
Therefore the LCM of Fractions 17/951,438/583,109/158 is 811614
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 951,583,158 . The biggest common factor number is the GCF number.
So the greatest common factor 951,583,158 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 17/951, 438/583, 109/158?
Answer: LCM of Numerators as per given numbers 17/951, 438/583, 109/158 is
LCM of Numerators i.e. for 17,438,109 is 811614
GCF of denominators i.e. for 951,583,158 is 1.
Thus, LCM of Fractions is 811614.Finally, LCM of Fractions for 17/951, 438/583, 109/158 is 811614.