Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6087/646, 5015/416 quickly i.e. 30526305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6087/646, 5015/416 is 30526305/2.
LCM(6087/646, 5015/416) = 30526305/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6087/646,5015/416
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 6087,5015
Least Common Multiple of Numerators i.e. LCM of 6087,5015 is 30526305.
GCF of Denominators means GCF of 646,416 as per the given fractions.
GCF of 646,416 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6087,5015
Given numbers has no common factors except 1. So, there LCM is their product i.e 30526305
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 6087,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6087,5015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6087,5015) x common factors =1 x 1 = 1
LCM(6087,5015) = ( 6087 × 5015 ) / 1
LCM(6087,5015) = 30526305 / 1
LCM(6087,5015) = 30526305
Lets's calculate GCF of 646,416
2 | 646, 416 |
323, 208 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30526305/2
Therefore the LCM of Fractions 6087/646,5015/416 is 30526305/2
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 646,416 . The biggest common factor number is the GCF number.
So the greatest common factor 646,416 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 6087/646, 5015/416?
Answer: LCM of Numerators as per given numbers 6087/646, 5015/416 is
LCM of Numerators i.e. for 6087,5015 is 30526305
GCF of denominators i.e. for 646,416 is 2.
Thus, LCM of Fractions is 30526305/2.Finally, LCM of Fractions for 6087/646, 5015/416 is 30526305/2.