Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/891, 76/807, 283/326 quickly i.e. 430160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/891, 76/807, 283/326 is 430160.
LCM(80/891, 76/807, 283/326) = 430160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/891,76/807,283/326
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 80,76,283
Least Common Multiple of Numerators i.e. LCM of 80,76,283 is 430160.
GCF of Denominators means GCF of 891,807,326 as per the given fractions.
GCF of 891,807,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,76,283
2 | 80, 76, 283 |
2 | 40, 38, 283 |
20, 19, 283 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 19 x 283 = 430160
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 80,76,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,76,283) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(80,76,283) x common factors =1 x 4 = 4
LCM(80,76,283) = ( 80 × 76 × 283 ) / 4
LCM(80,76,283) = 1720640 / 4
LCM(80,76,283) = 430160
Lets's calculate GCF of 891,807,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430160/1
Therefore the LCM of Fractions 80/891,76/807,283/326 is 430160
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 891,807,326 . The biggest common factor number is the GCF number.
So the greatest common factor 891,807,326 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 80/891, 76/807, 283/326?
Answer: LCM of Numerators as per given numbers 80/891, 76/807, 283/326 is
LCM of Numerators i.e. for 80,76,283 is 430160
GCF of denominators i.e. for 891,807,326 is 1.
Thus, LCM of Fractions is 430160.Finally, LCM of Fractions for 80/891, 76/807, 283/326 is 430160.