Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/914, 8237/5178 quickly i.e. 172977/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/914, 8237/5178 is 172977/2.
LCM(21/914, 8237/5178) = 172977/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/914,8237/5178
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 21,8237
Least Common Multiple of Numerators i.e. LCM of 21,8237 is 172977.
GCF of Denominators means GCF of 914,5178 as per the given fractions.
GCF of 914,5178 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,8237
Given numbers has no common factors except 1. So, there LCM is their product i.e 172977
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 21,8237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,8237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,8237) x common factors =1 x 1 = 1
LCM(21,8237) = ( 21 × 8237 ) / 1
LCM(21,8237) = 172977 / 1
LCM(21,8237) = 172977
Lets's calculate GCF of 914,5178
2 | 914, 5178 |
457, 2589 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172977/2
Therefore the LCM of Fractions 21/914,8237/5178 is 172977/2
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 5178
List of positive integer factors of 5178 that divides 5178 without a remainder.
1,2,3,6,863,1726,2589,5178
Greatest Common Factor
We found the factors 914,5178 . The biggest common factor number is the GCF number.
So the greatest common factor 914,5178 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 21/914, 8237/5178?
Answer: LCM of Numerators as per given numbers 21/914, 8237/5178 is
LCM of Numerators i.e. for 21,8237 is 172977
GCF of denominators i.e. for 914,5178 is 2.
Thus, LCM of Fractions is 172977/2.Finally, LCM of Fractions for 21/914, 8237/5178 is 172977/2.