Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/893, 339/250, 979/174 quickly i.e. 20576622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/893, 339/250, 979/174 is 20576622.
LCM(62/893, 339/250, 979/174) = 20576622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/893,339/250,979/174
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 62,339,979
Least Common Multiple of Numerators i.e. LCM of 62,339,979 is 20576622.
GCF of Denominators means GCF of 893,250,174 as per the given fractions.
GCF of 893,250,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,339,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 20576622
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 62,339,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,339,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,339,979) x common factors =1 x 1 = 1
LCM(62,339,979) = ( 62 × 339 × 979 ) / 1
LCM(62,339,979) = 20576622 / 1
LCM(62,339,979) = 20576622
Lets's calculate GCF of 893,250,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20576622/1
Therefore the LCM of Fractions 62/893,339/250,979/174 is 20576622
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 893,250,174 . The biggest common factor number is the GCF number.
So the greatest common factor 893,250,174 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 62/893, 339/250, 979/174?
Answer: LCM of Numerators as per given numbers 62/893, 339/250, 979/174 is
LCM of Numerators i.e. for 62,339,979 is 20576622
GCF of denominators i.e. for 893,250,174 is 1.
Thus, LCM of Fractions is 20576622.Finally, LCM of Fractions for 62/893, 339/250, 979/174 is 20576622.