Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/901, 44/478, 573/238 quickly i.e. 1033692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/901, 44/478, 573/238 is 1033692.
LCM(82/901, 44/478, 573/238) = 1033692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/901,44/478,573/238
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 82,44,573
Least Common Multiple of Numerators i.e. LCM of 82,44,573 is 1033692.
GCF of Denominators means GCF of 901,478,238 as per the given fractions.
GCF of 901,478,238 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,44,573
2 | 82, 44, 573 |
41, 22, 573 |
∴ So the LCM of the given numbers is 2 x 41 x 22 x 573 = 1033692
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 82,44,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,44,573) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,44,573) x common factors =1 x 2 = 2
LCM(82,44,573) = ( 82 × 44 × 573 ) / 2
LCM(82,44,573) = 2067384 / 2
LCM(82,44,573) = 1033692
Lets's calculate GCF of 901,478,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1033692/1
Therefore the LCM of Fractions 82/901,44/478,573/238 is 1033692
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 901,478,238 . The biggest common factor number is the GCF number.
So the greatest common factor 901,478,238 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 82/901, 44/478, 573/238?
Answer: LCM of Numerators as per given numbers 82/901, 44/478, 573/238 is
LCM of Numerators i.e. for 82,44,573 is 1033692
GCF of denominators i.e. for 901,478,238 is 1.
Thus, LCM of Fractions is 1033692.Finally, LCM of Fractions for 82/901, 44/478, 573/238 is 1033692.