Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 624/31, 181/94, 295/860 quickly i.e. 33318480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 624/31, 181/94, 295/860 is 33318480.
LCM(624/31, 181/94, 295/860) = 33318480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 624/31,181/94,295/860
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 624,181,295
Least Common Multiple of Numerators i.e. LCM of 624,181,295 is 33318480.
GCF of Denominators means GCF of 31,94,860 as per the given fractions.
GCF of 31,94,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 624,181,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 33318480
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 624,181,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,181,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,181,295) x common factors =1 x 1 = 1
LCM(624,181,295) = ( 624 × 181 × 295 ) / 1
LCM(624,181,295) = 33318480 / 1
LCM(624,181,295) = 33318480
Lets's calculate GCF of 31,94,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33318480/1
Therefore the LCM of Fractions 624/31,181/94,295/860 is 33318480
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 31,94,860 . The biggest common factor number is the GCF number.
So the greatest common factor 31,94,860 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 624/31, 181/94, 295/860?
Answer: LCM of Numerators as per given numbers 624/31, 181/94, 295/860 is
LCM of Numerators i.e. for 624,181,295 is 33318480
GCF of denominators i.e. for 31,94,860 is 1.
Thus, LCM of Fractions is 33318480.Finally, LCM of Fractions for 624/31, 181/94, 295/860 is 33318480.