Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/633, 87/659, 112/531 quickly i.e. 107184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/633, 87/659, 112/531 is 107184.
LCM(44/633, 87/659, 112/531) = 107184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/633,87/659,112/531
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 44,87,112
Least Common Multiple of Numerators i.e. LCM of 44,87,112 is 107184.
GCF of Denominators means GCF of 633,659,531 as per the given fractions.
GCF of 633,659,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,87,112
2 | 44, 87, 112 |
2 | 22, 87, 56 |
11, 87, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 87 x 28 = 107184
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 44,87,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,87,112) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,87,112) x common factors =1 x 4 = 4
LCM(44,87,112) = ( 44 × 87 × 112 ) / 4
LCM(44,87,112) = 428736 / 4
LCM(44,87,112) = 107184
Lets's calculate GCF of 633,659,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107184/1
Therefore the LCM of Fractions 44/633,87/659,112/531 is 107184
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 633,659,531 . The biggest common factor number is the GCF number.
So the greatest common factor 633,659,531 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 44/633, 87/659, 112/531?
Answer: LCM of Numerators as per given numbers 44/633, 87/659, 112/531 is
LCM of Numerators i.e. for 44,87,112 is 107184
GCF of denominators i.e. for 633,659,531 is 1.
Thus, LCM of Fractions is 107184.Finally, LCM of Fractions for 44/633, 87/659, 112/531 is 107184.