Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/86, 14/85, 61/21, 74/991 quickly i.e. 916342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/86, 14/85, 61/21, 74/991 is 916342.
LCM(29/86, 14/85, 61/21, 74/991) = 916342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/86,14/85,61/21,74/991
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 29,14,61,74
Least Common Multiple of Numerators i.e. LCM of 29,14,61,74 is 916342.
GCF of Denominators means GCF of 86,85,21,991 as per the given fractions.
GCF of 86,85,21,991 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,14,61,74
2 | 29, 14, 61, 74 |
29, 7, 61, 37 |
∴ So the LCM of the given numbers is 2 x 29 x 7 x 61 x 37 = 916342
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 29,14,61,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,14,61,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,14,61,74) x common factors =1 x 2 = 2
LCM(29,14,61,74) = ( 29 × 14 × 61 × 74 ) / 2
LCM(29,14,61,74) = 1832684 / 2
LCM(29,14,61,74) = 916342
Lets's calculate GCF of 86,85,21,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 916342/1
Therefore the LCM of Fractions 29/86,14/85,61/21,74/991 is 916342
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 86,85,21,991 . The biggest common factor number is the GCF number.
So the greatest common factor 86,85,21,991 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 29/86, 14/85, 61/21, 74/991?
Answer: LCM of Numerators as per given numbers 29/86, 14/85, 61/21, 74/991 is
LCM of Numerators i.e. for 29,14,61,74 is 916342
GCF of denominators i.e. for 86,85,21,991 is 1.
Thus, LCM of Fractions is 916342.Finally, LCM of Fractions for 29/86, 14/85, 61/21, 74/991 is 916342.