Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/632, 81/828, 619/685 quickly i.e. 4261815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/632, 81/828, 619/685 is 4261815.
LCM(85/632, 81/828, 619/685) = 4261815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/632,81/828,619/685
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 85,81,619
Least Common Multiple of Numerators i.e. LCM of 85,81,619 is 4261815.
GCF of Denominators means GCF of 632,828,685 as per the given fractions.
GCF of 632,828,685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,81,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 4261815
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 85,81,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,81,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,81,619) x common factors =1 x 1 = 1
LCM(85,81,619) = ( 85 × 81 × 619 ) / 1
LCM(85,81,619) = 4261815 / 1
LCM(85,81,619) = 4261815
Lets's calculate GCF of 632,828,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4261815/1
Therefore the LCM of Fractions 85/632,81/828,619/685 is 4261815
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 632,828,685 . The biggest common factor number is the GCF number.
So the greatest common factor 632,828,685 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 85/632, 81/828, 619/685?
Answer: LCM of Numerators as per given numbers 85/632, 81/828, 619/685 is
LCM of Numerators i.e. for 85,81,619 is 4261815
GCF of denominators i.e. for 632,828,685 is 1.
Thus, LCM of Fractions is 4261815.Finally, LCM of Fractions for 85/632, 81/828, 619/685 is 4261815.