Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/39, 898/33, 179/607 quickly i.e. 11412682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/39, 898/33, 179/607 is 11412682.
LCM(71/39, 898/33, 179/607) = 11412682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/39,898/33,179/607
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 71,898,179
Least Common Multiple of Numerators i.e. LCM of 71,898,179 is 11412682.
GCF of Denominators means GCF of 39,33,607 as per the given fractions.
GCF of 39,33,607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,898,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 11412682
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 71,898,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,898,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,898,179) x common factors =1 x 1 = 1
LCM(71,898,179) = ( 71 × 898 × 179 ) / 1
LCM(71,898,179) = 11412682 / 1
LCM(71,898,179) = 11412682
Lets's calculate GCF of 39,33,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11412682/1
Therefore the LCM of Fractions 71/39,898/33,179/607 is 11412682
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Greatest Common Factor
We found the factors 39,33,607 . The biggest common factor number is the GCF number.
So the greatest common factor 39,33,607 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 71/39, 898/33, 179/607?
Answer: LCM of Numerators as per given numbers 71/39, 898/33, 179/607 is
LCM of Numerators i.e. for 71,898,179 is 11412682
GCF of denominators i.e. for 39,33,607 is 1.
Thus, LCM of Fractions is 11412682.Finally, LCM of Fractions for 71/39, 898/33, 179/607 is 11412682.