Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/606, 31/188, 639/671 quickly i.e. 495225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/606, 31/188, 639/671 is 495225.
LCM(75/606, 31/188, 639/671) = 495225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/606,31/188,639/671
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 75,31,639
Least Common Multiple of Numerators i.e. LCM of 75,31,639 is 495225.
GCF of Denominators means GCF of 606,188,671 as per the given fractions.
GCF of 606,188,671 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,31,639
3 | 75, 31, 639 |
25, 31, 213 |
∴ So the LCM of the given numbers is 3 x 25 x 31 x 213 = 495225
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 75,31,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,31,639) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,31,639) x common factors =1 x 3 = 3
LCM(75,31,639) = ( 75 × 31 × 639 ) / 3
LCM(75,31,639) = 1485675 / 3
LCM(75,31,639) = 495225
Lets's calculate GCF of 606,188,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495225/1
Therefore the LCM of Fractions 75/606,31/188,639/671 is 495225
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 606,188,671 . The biggest common factor number is the GCF number.
So the greatest common factor 606,188,671 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 75/606, 31/188, 639/671?
Answer: LCM of Numerators as per given numbers 75/606, 31/188, 639/671 is
LCM of Numerators i.e. for 75,31,639 is 495225
GCF of denominators i.e. for 606,188,671 is 1.
Thus, LCM of Fractions is 495225.Finally, LCM of Fractions for 75/606, 31/188, 639/671 is 495225.