Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 663/884, 113/869, 221/372 quickly i.e. 74919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 663/884, 113/869, 221/372 is 74919.
LCM(663/884, 113/869, 221/372) = 74919
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 663/884,113/869,221/372
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 663,113,221
Least Common Multiple of Numerators i.e. LCM of 663,113,221 is 74919.
GCF of Denominators means GCF of 884,869,372 as per the given fractions.
GCF of 884,869,372 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 663,113,221
13 | 663, 113, 221 |
17 | 51, 113, 17 |
3, 113, 1 |
∴ So the LCM of the given numbers is 13 x 17 x 3 x 113 x 1 = 74919
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 663,113,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,113,221) = 1
common factors(in case of two or more numbers have common factors) = 221
GCF(663,113,221) x common factors =1 x 221 = 221
LCM(663,113,221) = ( 663 × 113 × 221 ) / 221
LCM(663,113,221) = 16557099 / 221
LCM(663,113,221) = 74919
Lets's calculate GCF of 884,869,372
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74919/1
Therefore the LCM of Fractions 663/884,113/869,221/372 is 74919
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 884,869,372 . The biggest common factor number is the GCF number.
So the greatest common factor 884,869,372 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 663/884, 113/869, 221/372?
Answer: LCM of Numerators as per given numbers 663/884, 113/869, 221/372 is
LCM of Numerators i.e. for 663,113,221 is 74919
GCF of denominators i.e. for 884,869,372 is 1.
Thus, LCM of Fractions is 74919.Finally, LCM of Fractions for 663/884, 113/869, 221/372 is 74919.