Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/844, 586/811, 807/516 quickly i.e. 3310314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/844, 586/811, 807/516 is 3310314.
LCM(14/844, 586/811, 807/516) = 3310314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/844,586/811,807/516
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 14,586,807
Least Common Multiple of Numerators i.e. LCM of 14,586,807 is 3310314.
GCF of Denominators means GCF of 844,811,516 as per the given fractions.
GCF of 844,811,516 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,586,807
2 | 14, 586, 807 |
7, 293, 807 |
∴ So the LCM of the given numbers is 2 x 7 x 293 x 807 = 3310314
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 14,586,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,586,807) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,586,807) x common factors =1 x 2 = 2
LCM(14,586,807) = ( 14 × 586 × 807 ) / 2
LCM(14,586,807) = 6620628 / 2
LCM(14,586,807) = 3310314
Lets's calculate GCF of 844,811,516
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3310314/1
Therefore the LCM of Fractions 14/844,586/811,807/516 is 3310314
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 844,811,516 . The biggest common factor number is the GCF number.
So the greatest common factor 844,811,516 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 14/844, 586/811, 807/516?
Answer: LCM of Numerators as per given numbers 14/844, 586/811, 807/516 is
LCM of Numerators i.e. for 14,586,807 is 3310314
GCF of denominators i.e. for 844,811,516 is 1.
Thus, LCM of Fractions is 3310314.Finally, LCM of Fractions for 14/844, 586/811, 807/516 is 3310314.