Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 592/84, 881/41, 963/188 quickly i.e. 502254576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 592/84, 881/41, 963/188 is 502254576.
LCM(592/84, 881/41, 963/188) = 502254576
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 592/84,881/41,963/188
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 592,881,963
Least Common Multiple of Numerators i.e. LCM of 592,881,963 is 502254576.
GCF of Denominators means GCF of 84,41,188 as per the given fractions.
GCF of 84,41,188 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 592,881,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 502254576
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 592,881,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,881,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,881,963) x common factors =1 x 1 = 1
LCM(592,881,963) = ( 592 × 881 × 963 ) / 1
LCM(592,881,963) = 502254576 / 1
LCM(592,881,963) = 502254576
Lets's calculate GCF of 84,41,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502254576/1
Therefore the LCM of Fractions 592/84,881/41,963/188 is 502254576
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 84,41,188 . The biggest common factor number is the GCF number.
So the greatest common factor 84,41,188 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 592/84, 881/41, 963/188?
Answer: LCM of Numerators as per given numbers 592/84, 881/41, 963/188 is
LCM of Numerators i.e. for 592,881,963 is 502254576
GCF of denominators i.e. for 84,41,188 is 1.
Thus, LCM of Fractions is 502254576.Finally, LCM of Fractions for 592/84, 881/41, 963/188 is 502254576.