Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/863, 928/499, 877/474 quickly i.e. 69177760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/863, 928/499, 877/474 is 69177760.
LCM(85/863, 928/499, 877/474) = 69177760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/863,928/499,877/474
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 85,928,877
Least Common Multiple of Numerators i.e. LCM of 85,928,877 is 69177760.
GCF of Denominators means GCF of 863,499,474 as per the given fractions.
GCF of 863,499,474 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,928,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 69177760
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 85,928,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,928,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,928,877) x common factors =1 x 1 = 1
LCM(85,928,877) = ( 85 × 928 × 877 ) / 1
LCM(85,928,877) = 69177760 / 1
LCM(85,928,877) = 69177760
Lets's calculate GCF of 863,499,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69177760/1
Therefore the LCM of Fractions 85/863,928/499,877/474 is 69177760
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
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 863,499,474 . The biggest common factor number is the GCF number.
So the greatest common factor 863,499,474 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 85/863, 928/499, 877/474?
Answer: LCM of Numerators as per given numbers 85/863, 928/499, 877/474 is
LCM of Numerators i.e. for 85,928,877 is 69177760
GCF of denominators i.e. for 863,499,474 is 1.
Thus, LCM of Fractions is 69177760.Finally, LCM of Fractions for 85/863, 928/499, 877/474 is 69177760.