Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/856, 53/385, 622/463 quickly i.e. 1285674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/856, 53/385, 622/463 is 1285674.
LCM(39/856, 53/385, 622/463) = 1285674
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/856,53/385,622/463
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 39,53,622
Least Common Multiple of Numerators i.e. LCM of 39,53,622 is 1285674.
GCF of Denominators means GCF of 856,385,463 as per the given fractions.
GCF of 856,385,463 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,53,622
Given numbers has no common factors except 1. So, there LCM is their product i.e 1285674
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 39,53,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,53,622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,53,622) x common factors =1 x 1 = 1
LCM(39,53,622) = ( 39 × 53 × 622 ) / 1
LCM(39,53,622) = 1285674 / 1
LCM(39,53,622) = 1285674
Lets's calculate GCF of 856,385,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1285674/1
Therefore the LCM of Fractions 39/856,53/385,622/463 is 1285674
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 856,385,463 . The biggest common factor number is the GCF number.
So the greatest common factor 856,385,463 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 39/856, 53/385, 622/463?
Answer: LCM of Numerators as per given numbers 39/856, 53/385, 622/463 is
LCM of Numerators i.e. for 39,53,622 is 1285674
GCF of denominators i.e. for 856,385,463 is 1.
Thus, LCM of Fractions is 1285674.Finally, LCM of Fractions for 39/856, 53/385, 622/463 is 1285674.