Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/76, 94/26, 327/844 quickly i.e. 445701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/76, 94/26, 327/844 is 445701.
LCM(29/76, 94/26, 327/844) = 445701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/76,94/26,327/844
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 29,94,327
Least Common Multiple of Numerators i.e. LCM of 29,94,327 is 891402.
GCF of Denominators means GCF of 76,26,844 as per the given fractions.
GCF of 76,26,844 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,94,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 891402
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 29,94,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,94,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,94,327) x common factors =1 x 1 = 1
LCM(29,94,327) = ( 29 × 94 × 327 ) / 1
LCM(29,94,327) = 891402 / 1
LCM(29,94,327) = 891402
Lets's calculate GCF of 76,26,844
2 | 76, 26, 844 |
38, 13, 422 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891402/2
Therefore the LCM of Fractions 29/76,94/26,327/844 is 445701
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 76,26,844 . The biggest common factor number is the GCF number.
So the greatest common factor 76,26,844 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 29/76, 94/26, 327/844?
Answer: LCM of Numerators as per given numbers 29/76, 94/26, 327/844 is
LCM of Numerators i.e. for 29,94,327 is 891402
GCF of denominators i.e. for 76,26,844 is 2.
Thus, LCM of Fractions is 445701.Finally, LCM of Fractions for 29/76, 94/26, 327/844 is 445701.