Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 912/814, 7213/584 quickly i.e. 3289128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 912/814, 7213/584 is 3289128.
LCM(912/814, 7213/584) = 3289128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 912/814,7213/584
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 912,7213
Least Common Multiple of Numerators i.e. LCM of 912,7213 is 6578256.
GCF of Denominators means GCF of 814,584 as per the given fractions.
GCF of 814,584 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 912,7213
Given numbers has no common factors except 1. So, there LCM is their product i.e 6578256
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 912,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,7213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,7213) x common factors =1 x 1 = 1
LCM(912,7213) = ( 912 × 7213 ) / 1
LCM(912,7213) = 6578256 / 1
LCM(912,7213) = 6578256
Lets's calculate GCF of 814,584
2 | 814, 584 |
407, 292 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6578256/2
Therefore the LCM of Fractions 912/814,7213/584 is 3289128
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 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 814,584 . The biggest common factor number is the GCF number.
So the greatest common factor 814,584 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 912/814, 7213/584?
Answer: LCM of Numerators as per given numbers 912/814, 7213/584 is
LCM of Numerators i.e. for 912,7213 is 6578256
GCF of denominators i.e. for 814,584 is 2.
Thus, LCM of Fractions is 3289128.Finally, LCM of Fractions for 912/814, 7213/584 is 3289128.