Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 855/74, 649/6036 quickly i.e. 554895/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 855/74, 649/6036 is 554895/2.
LCM(855/74, 649/6036) = 554895/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 855/74,649/6036
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 855,649
Least Common Multiple of Numerators i.e. LCM of 855,649 is 554895.
GCF of Denominators means GCF of 74,6036 as per the given fractions.
GCF of 74,6036 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 855,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 554895
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 855,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,649) x common factors =1 x 1 = 1
LCM(855,649) = ( 855 × 649 ) / 1
LCM(855,649) = 554895 / 1
LCM(855,649) = 554895
Lets's calculate GCF of 74,6036
2 | 74, 6036 |
37, 3018 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 554895/2
Therefore the LCM of Fractions 855/74,649/6036 is 554895/2
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 6036
List of positive integer factors of 6036 that divides 6036 without a remainder.
1,2,3,4,6,12,503,1006,1509,2012,3018,6036
Greatest Common Factor
We found the factors 74,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 74,6036 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 855/74, 649/6036?
Answer: LCM of Numerators as per given numbers 855/74, 649/6036 is
LCM of Numerators i.e. for 855,649 is 554895
GCF of denominators i.e. for 74,6036 is 2.
Thus, LCM of Fractions is 554895/2.Finally, LCM of Fractions for 855/74, 649/6036 is 554895/2.