Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/56, 81/35, 865/304 quickly i.e. 1121040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/56, 81/35, 865/304 is 1121040.
LCM(80/56, 81/35, 865/304) = 1121040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/56,81/35,865/304
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 80,81,865
Least Common Multiple of Numerators i.e. LCM of 80,81,865 is 1121040.
GCF of Denominators means GCF of 56,35,304 as per the given fractions.
GCF of 56,35,304 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,81,865
5 | 80, 81, 865 |
16, 81, 173 |
∴ So the LCM of the given numbers is 5 x 16 x 81 x 173 = 1121040
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 80,81,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,81,865) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(80,81,865) x common factors =1 x 5 = 5
LCM(80,81,865) = ( 80 × 81 × 865 ) / 5
LCM(80,81,865) = 5605200 / 5
LCM(80,81,865) = 1121040
Lets's calculate GCF of 56,35,304
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1121040/1
Therefore the LCM of Fractions 80/56,81/35,865/304 is 1121040
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 56,35,304 . The biggest common factor number is the GCF number.
So the greatest common factor 56,35,304 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 80/56, 81/35, 865/304?
Answer: LCM of Numerators as per given numbers 80/56, 81/35, 865/304 is
LCM of Numerators i.e. for 80,81,865 is 1121040
GCF of denominators i.e. for 56,35,304 is 1.
Thus, LCM of Fractions is 1121040.Finally, LCM of Fractions for 80/56, 81/35, 865/304 is 1121040.