Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/397, 74/651, 212/309 quickly i.e. 156880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/397, 74/651, 212/309 is 156880.
LCM(80/397, 74/651, 212/309) = 156880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/397,74/651,212/309
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 80,74,212
Least Common Multiple of Numerators i.e. LCM of 80,74,212 is 156880.
GCF of Denominators means GCF of 397,651,309 as per the given fractions.
GCF of 397,651,309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,74,212
2 | 80, 74, 212 |
2 | 40, 37, 106 |
20, 37, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 37 x 53 = 156880
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 80,74,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,74,212) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(80,74,212) x common factors =2 x 4 = 8
LCM(80,74,212) = ( 80 × 74 × 212 ) / 8
LCM(80,74,212) = 1255040 / 8
LCM(80,74,212) = 156880
Lets's calculate GCF of 397,651,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156880/1
Therefore the LCM of Fractions 80/397,74/651,212/309 is 156880
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 397,651,309 . The biggest common factor number is the GCF number.
So the greatest common factor 397,651,309 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 80/397, 74/651, 212/309?
Answer: LCM of Numerators as per given numbers 80/397, 74/651, 212/309 is
LCM of Numerators i.e. for 80,74,212 is 156880
GCF of denominators i.e. for 397,651,309 is 1.
Thus, LCM of Fractions is 156880.Finally, LCM of Fractions for 80/397, 74/651, 212/309 is 156880.