Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 795/47, 623/82, 698/331 quickly i.e. 345708930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 795/47, 623/82, 698/331 is 345708930.
LCM(795/47, 623/82, 698/331) = 345708930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 795/47,623/82,698/331
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 795,623,698
Least Common Multiple of Numerators i.e. LCM of 795,623,698 is 345708930.
GCF of Denominators means GCF of 47,82,331 as per the given fractions.
GCF of 47,82,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 795,623,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 345708930
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 795,623,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,623,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,623,698) x common factors =1 x 1 = 1
LCM(795,623,698) = ( 795 × 623 × 698 ) / 1
LCM(795,623,698) = 345708930 / 1
LCM(795,623,698) = 345708930
Lets's calculate GCF of 47,82,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345708930/1
Therefore the LCM of Fractions 795/47,623/82,698/331 is 345708930
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 47,82,331 . The biggest common factor number is the GCF number.
So the greatest common factor 47,82,331 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 795/47, 623/82, 698/331?
Answer: LCM of Numerators as per given numbers 795/47, 623/82, 698/331 is
LCM of Numerators i.e. for 795,623,698 is 345708930
GCF of denominators i.e. for 47,82,331 is 1.
Thus, LCM of Fractions is 345708930.Finally, LCM of Fractions for 795/47, 623/82, 698/331 is 345708930.