Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/482, 122/106, 881/350 quickly i.e. 2203381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/482, 122/106, 881/350 is 2203381.
LCM(41/482, 122/106, 881/350) = 2203381
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/482,122/106,881/350
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 41,122,881
Least Common Multiple of Numerators i.e. LCM of 41,122,881 is 4406762.
GCF of Denominators means GCF of 482,106,350 as per the given fractions.
GCF of 482,106,350 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,122,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 4406762
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 41,122,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,122,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,122,881) x common factors =1 x 1 = 1
LCM(41,122,881) = ( 41 × 122 × 881 ) / 1
LCM(41,122,881) = 4406762 / 1
LCM(41,122,881) = 4406762
Lets's calculate GCF of 482,106,350
2 | 482, 106, 350 |
241, 53, 175 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4406762/2
Therefore the LCM of Fractions 41/482,122/106,881/350 is 2203381
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 482,106,350 . The biggest common factor number is the GCF number.
So the greatest common factor 482,106,350 is 2.
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 41/482, 122/106, 881/350?
Answer: LCM of Numerators as per given numbers 41/482, 122/106, 881/350 is
LCM of Numerators i.e. for 41,122,881 is 4406762
GCF of denominators i.e. for 482,106,350 is 2.
Thus, LCM of Fractions is 2203381.Finally, LCM of Fractions for 41/482, 122/106, 881/350 is 2203381.