Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/237, 87/941, 598/823 quickly i.e. 3693846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/237, 87/941, 598/823 is 3693846.
LCM(71/237, 87/941, 598/823) = 3693846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/237,87/941,598/823
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 71,87,598
Least Common Multiple of Numerators i.e. LCM of 71,87,598 is 3693846.
GCF of Denominators means GCF of 237,941,823 as per the given fractions.
GCF of 237,941,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,87,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 3693846
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 71,87,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,87,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,87,598) x common factors =1 x 1 = 1
LCM(71,87,598) = ( 71 × 87 × 598 ) / 1
LCM(71,87,598) = 3693846 / 1
LCM(71,87,598) = 3693846
Lets's calculate GCF of 237,941,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3693846/1
Therefore the LCM of Fractions 71/237,87/941,598/823 is 3693846
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 237,941,823 . The biggest common factor number is the GCF number.
So the greatest common factor 237,941,823 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 71/237, 87/941, 598/823?
Answer: LCM of Numerators as per given numbers 71/237, 87/941, 598/823 is
LCM of Numerators i.e. for 71,87,598 is 3693846
GCF of denominators i.e. for 237,941,823 is 1.
Thus, LCM of Fractions is 3693846.Finally, LCM of Fractions for 71/237, 87/941, 598/823 is 3693846.