Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/634, 36/587, 312/271 quickly i.e. 66456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/634, 36/587, 312/271 is 66456.
LCM(71/634, 36/587, 312/271) = 66456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/634,36/587,312/271
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 71,36,312
Least Common Multiple of Numerators i.e. LCM of 71,36,312 is 66456.
GCF of Denominators means GCF of 634,587,271 as per the given fractions.
GCF of 634,587,271 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,36,312
2 | 71, 36, 312 |
2 | 71, 18, 156 |
3 | 71, 9, 78 |
71, 3, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 3 x 26 = 66456
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 71,36,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,36,312) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(71,36,312) x common factors =1 x 12 = 12
LCM(71,36,312) = ( 71 × 36 × 312 ) / 12
LCM(71,36,312) = 797472 / 12
LCM(71,36,312) = 66456
Lets's calculate GCF of 634,587,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66456/1
Therefore the LCM of Fractions 71/634,36/587,312/271 is 66456
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 634,587,271 . The biggest common factor number is the GCF number.
So the greatest common factor 634,587,271 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 71/634, 36/587, 312/271?
Answer: LCM of Numerators as per given numbers 71/634, 36/587, 312/271 is
LCM of Numerators i.e. for 71,36,312 is 66456
GCF of denominators i.e. for 634,587,271 is 1.
Thus, LCM of Fractions is 66456.Finally, LCM of Fractions for 71/634, 36/587, 312/271 is 66456.