Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 906/61, 313/68, 505/86 quickly i.e. 143206890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 906/61, 313/68, 505/86 is 143206890.
LCM(906/61, 313/68, 505/86) = 143206890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 906/61,313/68,505/86
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 906,313,505
Least Common Multiple of Numerators i.e. LCM of 906,313,505 is 143206890.
GCF of Denominators means GCF of 61,68,86 as per the given fractions.
GCF of 61,68,86 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 906,313,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 143206890
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 906,313,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,313,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,313,505) x common factors =1 x 1 = 1
LCM(906,313,505) = ( 906 × 313 × 505 ) / 1
LCM(906,313,505) = 143206890 / 1
LCM(906,313,505) = 143206890
Lets's calculate GCF of 61,68,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143206890/1
Therefore the LCM of Fractions 906/61,313/68,505/86 is 143206890
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 61,68,86 . The biggest common factor number is the GCF number.
So the greatest common factor 61,68,86 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 906/61, 313/68, 505/86?
Answer: LCM of Numerators as per given numbers 906/61, 313/68, 505/86 is
LCM of Numerators i.e. for 906,313,505 is 143206890
GCF of denominators i.e. for 61,68,86 is 1.
Thus, LCM of Fractions is 143206890.Finally, LCM of Fractions for 906/61, 313/68, 505/86 is 143206890.