Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/58, 319/9239 quickly i.e. 274978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/58, 319/9239 is 274978.
LCM(862/58, 319/9239) = 274978
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/58,319/9239
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 862,319
Least Common Multiple of Numerators i.e. LCM of 862,319 is 274978.
GCF of Denominators means GCF of 58,9239 as per the given fractions.
GCF of 58,9239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 274978
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 862,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,319) x common factors =1 x 1 = 1
LCM(862,319) = ( 862 × 319 ) / 1
LCM(862,319) = 274978 / 1
LCM(862,319) = 274978
Lets's calculate GCF of 58,9239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274978/1
Therefore the LCM of Fractions 862/58,319/9239 is 274978
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 9239
List of positive integer factors of 9239 that divides 9239 without a remainder.
1,9239
Greatest Common Factor
We found the factors 58,9239 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9239 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 862/58, 319/9239?
Answer: LCM of Numerators as per given numbers 862/58, 319/9239 is
LCM of Numerators i.e. for 862,319 is 274978
GCF of denominators i.e. for 58,9239 is 1.
Thus, LCM of Fractions is 274978.Finally, LCM of Fractions for 862/58, 319/9239 is 274978.