Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 899/77, 157/82, 316/964 quickly i.e. 44601188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 899/77, 157/82, 316/964 is 44601188.
LCM(899/77, 157/82, 316/964) = 44601188
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 899/77,157/82,316/964
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 899,157,316
Least Common Multiple of Numerators i.e. LCM of 899,157,316 is 44601188.
GCF of Denominators means GCF of 77,82,964 as per the given fractions.
GCF of 77,82,964 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 899,157,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 44601188
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 899,157,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,157,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,157,316) x common factors =1 x 1 = 1
LCM(899,157,316) = ( 899 × 157 × 316 ) / 1
LCM(899,157,316) = 44601188 / 1
LCM(899,157,316) = 44601188
Lets's calculate GCF of 77,82,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44601188/1
Therefore the LCM of Fractions 899/77,157/82,316/964 is 44601188
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 77,82,964 . The biggest common factor number is the GCF number.
So the greatest common factor 77,82,964 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 899/77, 157/82, 316/964?
Answer: LCM of Numerators as per given numbers 899/77, 157/82, 316/964 is
LCM of Numerators i.e. for 899,157,316 is 44601188
GCF of denominators i.e. for 77,82,964 is 1.
Thus, LCM of Fractions is 44601188.Finally, LCM of Fractions for 899/77, 157/82, 316/964 is 44601188.