Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2088/814, 3213/280 quickly i.e. 372708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2088/814, 3213/280 is 372708.
LCM(2088/814, 3213/280) = 372708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2088/814,3213/280
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 2088,3213
Least Common Multiple of Numerators i.e. LCM of 2088,3213 is 745416.
GCF of Denominators means GCF of 814,280 as per the given fractions.
GCF of 814,280 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2088,3213
3 | 2088, 3213 |
3 | 696, 1071 |
232, 357 |
∴ So the LCM of the given numbers is 3 x 3 x 232 x 357 = 745416
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 2088,3213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2088,3213) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(2088,3213) x common factors =9 x 1 = 9
LCM(2088,3213) = ( 2088 × 3213 ) / 9
LCM(2088,3213) = 6708744 / 9
LCM(2088,3213) = 745416
Lets's calculate GCF of 814,280
2 | 814, 280 |
407, 140 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745416/2
Therefore the LCM of Fractions 2088/814,3213/280 is 372708
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 814,280 . The biggest common factor number is the GCF number.
So the greatest common factor 814,280 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 2088/814, 3213/280?
Answer: LCM of Numerators as per given numbers 2088/814, 3213/280 is
LCM of Numerators i.e. for 2088,3213 is 745416
GCF of denominators i.e. for 814,280 is 2.
Thus, LCM of Fractions is 372708.Finally, LCM of Fractions for 2088/814, 3213/280 is 372708.