Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7838/85, 6087/306 quickly i.e. 47709906/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7838/85, 6087/306 is 47709906/17.
LCM(7838/85, 6087/306) = 47709906/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7838/85,6087/306
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 7838,6087
Least Common Multiple of Numerators i.e. LCM of 7838,6087 is 47709906.
GCF of Denominators means GCF of 85,306 as per the given fractions.
GCF of 85,306 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7838,6087
Given numbers has no common factors except 1. So, there LCM is their product i.e 47709906
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 7838,6087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7838,6087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7838,6087) x common factors =1 x 1 = 1
LCM(7838,6087) = ( 7838 × 6087 ) / 1
LCM(7838,6087) = 47709906 / 1
LCM(7838,6087) = 47709906
Lets's calculate GCF of 85,306
17 | 85, 306 |
5, 18 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47709906/17
Therefore the LCM of Fractions 7838/85,6087/306 is 47709906/17
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 85,306 . The biggest common factor number is the GCF number.
So the greatest common factor 85,306 is 17.
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 7838/85, 6087/306?
Answer: LCM of Numerators as per given numbers 7838/85, 6087/306 is
LCM of Numerators i.e. for 7838,6087 is 47709906
GCF of denominators i.e. for 85,306 is 17.
Thus, LCM of Fractions is 47709906/17.Finally, LCM of Fractions for 7838/85, 6087/306 is 47709906/17.