Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/776, 16/319, 399/732 quickly i.e. 31920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/776, 16/319, 399/732 is 31920.
LCM(80/776, 16/319, 399/732) = 31920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/776,16/319,399/732
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 80,16,399
Least Common Multiple of Numerators i.e. LCM of 80,16,399 is 31920.
GCF of Denominators means GCF of 776,319,732 as per the given fractions.
GCF of 776,319,732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,16,399
2 | 80, 16, 399 |
2 | 40, 8, 399 |
2 | 20, 4, 399 |
2 | 10, 2, 399 |
5, 1, 399 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 399 = 31920
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 80,16,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,16,399) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(80,16,399) x common factors =1 x 16 = 16
LCM(80,16,399) = ( 80 × 16 × 399 ) / 16
LCM(80,16,399) = 510720 / 16
LCM(80,16,399) = 31920
Lets's calculate GCF of 776,319,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31920/1
Therefore the LCM of Fractions 80/776,16/319,399/732 is 31920
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 776,319,732 . The biggest common factor number is the GCF number.
So the greatest common factor 776,319,732 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 80/776, 16/319, 399/732?
Answer: LCM of Numerators as per given numbers 80/776, 16/319, 399/732 is
LCM of Numerators i.e. for 80,16,399 is 31920
GCF of denominators i.e. for 776,319,732 is 1.
Thus, LCM of Fractions is 31920.Finally, LCM of Fractions for 80/776, 16/319, 399/732 is 31920.