Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/631, 59/238, 61/234 quickly i.e. 3599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/631, 59/238, 61/234 is 3599.
LCM(1/631, 59/238, 61/234) = 3599
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/631,59/238,61/234
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 1,59,61
Least Common Multiple of Numerators i.e. LCM of 1,59,61 is 3599.
GCF of Denominators means GCF of 631,238,234 as per the given fractions.
GCF of 631,238,234 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,59,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 3599
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 1,59,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,59,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,59,61) x common factors =1 x 1 = 1
LCM(1,59,61) = ( 1 × 59 × 61 ) / 1
LCM(1,59,61) = 3599 / 1
LCM(1,59,61) = 3599
Lets's calculate GCF of 631,238,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3599/1
Therefore the LCM of Fractions 1/631,59/238,61/234 is 3599
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 631,238,234 . The biggest common factor number is the GCF number.
So the greatest common factor 631,238,234 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 1/631, 59/238, 61/234?
Answer: LCM of Numerators as per given numbers 1/631, 59/238, 61/234 is
LCM of Numerators i.e. for 1,59,61 is 3599
GCF of denominators i.e. for 631,238,234 is 1.
Thus, LCM of Fractions is 3599.Finally, LCM of Fractions for 1/631, 59/238, 61/234 is 3599.