Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/656, 79/802, 299/474 quickly i.e. 519662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/656, 79/802, 299/474 is 519662.
LCM(44/656, 79/802, 299/474) = 519662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/656,79/802,299/474
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 44,79,299
Least Common Multiple of Numerators i.e. LCM of 44,79,299 is 1039324.
GCF of Denominators means GCF of 656,802,474 as per the given fractions.
GCF of 656,802,474 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,79,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039324
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 44,79,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,79,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,79,299) x common factors =1 x 1 = 1
LCM(44,79,299) = ( 44 × 79 × 299 ) / 1
LCM(44,79,299) = 1039324 / 1
LCM(44,79,299) = 1039324
Lets's calculate GCF of 656,802,474
2 | 656, 802, 474 |
328, 401, 237 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1039324/2
Therefore the LCM of Fractions 44/656,79/802,299/474 is 519662
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 656,802,474 . The biggest common factor number is the GCF number.
So the greatest common factor 656,802,474 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 44/656, 79/802, 299/474?
Answer: LCM of Numerators as per given numbers 44/656, 79/802, 299/474 is
LCM of Numerators i.e. for 44,79,299 is 1039324
GCF of denominators i.e. for 656,802,474 is 2.
Thus, LCM of Fractions is 519662.Finally, LCM of Fractions for 44/656, 79/802, 299/474 is 519662.