Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 547/422, 299/796, 450/926 quickly i.e. 36799425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 547/422, 299/796, 450/926 is 36799425.
LCM(547/422, 299/796, 450/926) = 36799425
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 547/422,299/796,450/926
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 547,299,450
Least Common Multiple of Numerators i.e. LCM of 547,299,450 is 73598850.
GCF of Denominators means GCF of 422,796,926 as per the given fractions.
GCF of 422,796,926 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 547,299,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 73598850
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 547,299,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,299,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,299,450) x common factors =1 x 1 = 1
LCM(547,299,450) = ( 547 × 299 × 450 ) / 1
LCM(547,299,450) = 73598850 / 1
LCM(547,299,450) = 73598850
Lets's calculate GCF of 422,796,926
2 | 422, 796, 926 |
211, 398, 463 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73598850/2
Therefore the LCM of Fractions 547/422,299/796,450/926 is 36799425
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 422,796,926 . The biggest common factor number is the GCF number.
So the greatest common factor 422,796,926 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 547/422, 299/796, 450/926?
Answer: LCM of Numerators as per given numbers 547/422, 299/796, 450/926 is
LCM of Numerators i.e. for 547,299,450 is 73598850
GCF of denominators i.e. for 422,796,926 is 2.
Thus, LCM of Fractions is 36799425.Finally, LCM of Fractions for 547/422, 299/796, 450/926 is 36799425.