Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/529, 801/695, 112/196 quickly i.e. 986832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/529, 801/695, 112/196 is 986832.
LCM(44/529, 801/695, 112/196) = 986832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/529,801/695,112/196
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 44,801,112
Least Common Multiple of Numerators i.e. LCM of 44,801,112 is 986832.
GCF of Denominators means GCF of 529,695,196 as per the given fractions.
GCF of 529,695,196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,801,112
2 | 44, 801, 112 |
2 | 22, 801, 56 |
11, 801, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 801 x 28 = 986832
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 44,801,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,801,112) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(44,801,112) x common factors =1 x 4 = 4
LCM(44,801,112) = ( 44 × 801 × 112 ) / 4
LCM(44,801,112) = 3947328 / 4
LCM(44,801,112) = 986832
Lets's calculate GCF of 529,695,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986832/1
Therefore the LCM of Fractions 44/529,801/695,112/196 is 986832
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 529,695,196 . The biggest common factor number is the GCF number.
So the greatest common factor 529,695,196 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 44/529, 801/695, 112/196?
Answer: LCM of Numerators as per given numbers 44/529, 801/695, 112/196 is
LCM of Numerators i.e. for 44,801,112 is 986832
GCF of denominators i.e. for 529,695,196 is 1.
Thus, LCM of Fractions is 986832.Finally, LCM of Fractions for 44/529, 801/695, 112/196 is 986832.