Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/284, 14/914, 21/824 quickly i.e. 84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/284, 14/914, 21/824 is 84.
LCM(8/284, 14/914, 21/824) = 84
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/284,14/914,21/824
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 8,14,21
Least Common Multiple of Numerators i.e. LCM of 8,14,21 is 168.
GCF of Denominators means GCF of 284,914,824 as per the given fractions.
GCF of 284,914,824 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,14,21
2 | 8, 14, 21 |
7 | 4, 7, 21 |
4, 1, 3 |
∴ So the LCM of the given numbers is 2 x 7 x 4 x 1 x 3 = 168
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 8,14,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,14,21) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(8,14,21) x common factors =1 x 14 = 14
LCM(8,14,21) = ( 8 × 14 × 21 ) / 14
LCM(8,14,21) = 2352 / 14
LCM(8,14,21) = 168
Lets's calculate GCF of 284,914,824
2 | 284, 914, 824 |
142, 457, 412 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168/2
Therefore the LCM of Fractions 8/284,14/914,21/824 is 84
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 284,914,824 . The biggest common factor number is the GCF number.
So the greatest common factor 284,914,824 is 2.
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 8/284, 14/914, 21/824?
Answer: LCM of Numerators as per given numbers 8/284, 14/914, 21/824 is
LCM of Numerators i.e. for 8,14,21 is 168
GCF of denominators i.e. for 284,914,824 is 2.
Thus, LCM of Fractions is 84.Finally, LCM of Fractions for 8/284, 14/914, 21/824 is 84.