Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/326, 62/619, 179/536 quickly i.e. 943330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/326, 62/619, 179/536 is 943330.
LCM(85/326, 62/619, 179/536) = 943330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/326,62/619,179/536
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 85,62,179
Least Common Multiple of Numerators i.e. LCM of 85,62,179 is 943330.
GCF of Denominators means GCF of 326,619,536 as per the given fractions.
GCF of 326,619,536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,62,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 943330
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 85,62,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,62,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,62,179) x common factors =1 x 1 = 1
LCM(85,62,179) = ( 85 × 62 × 179 ) / 1
LCM(85,62,179) = 943330 / 1
LCM(85,62,179) = 943330
Lets's calculate GCF of 326,619,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943330/1
Therefore the LCM of Fractions 85/326,62/619,179/536 is 943330
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 326,619,536 . The biggest common factor number is the GCF number.
So the greatest common factor 326,619,536 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 85/326, 62/619, 179/536?
Answer: LCM of Numerators as per given numbers 85/326, 62/619, 179/536 is
LCM of Numerators i.e. for 85,62,179 is 943330
GCF of denominators i.e. for 326,619,536 is 1.
Thus, LCM of Fractions is 943330.Finally, LCM of Fractions for 85/326, 62/619, 179/536 is 943330.