Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/862, 826/308, 306/855 quickly i.e. 5055120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/862, 826/308, 306/855 is 5055120.
LCM(80/862, 826/308, 306/855) = 5055120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/862,826/308,306/855
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 80,826,306
Least Common Multiple of Numerators i.e. LCM of 80,826,306 is 5055120.
GCF of Denominators means GCF of 862,308,855 as per the given fractions.
GCF of 862,308,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,826,306
2 | 80, 826, 306 |
40, 413, 153 |
∴ So the LCM of the given numbers is 2 x 40 x 413 x 153 = 5055120
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 80,826,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,826,306) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(80,826,306) x common factors =2 x 2 = 4
LCM(80,826,306) = ( 80 × 826 × 306 ) / 4
LCM(80,826,306) = 20220480 / 4
LCM(80,826,306) = 5055120
Lets's calculate GCF of 862,308,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5055120/1
Therefore the LCM of Fractions 80/862,826/308,306/855 is 5055120
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 862,308,855 . The biggest common factor number is the GCF number.
So the greatest common factor 862,308,855 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 80/862, 826/308, 306/855?
Answer: LCM of Numerators as per given numbers 80/862, 826/308, 306/855 is
LCM of Numerators i.e. for 80,826,306 is 5055120
GCF of denominators i.e. for 862,308,855 is 1.
Thus, LCM of Fractions is 5055120.Finally, LCM of Fractions for 80/862, 826/308, 306/855 is 5055120.