Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6250/519, 9673/8172 quickly i.e. 60456250/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6250/519, 9673/8172 is 60456250/3.
LCM(6250/519, 9673/8172) = 60456250/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6250/519,9673/8172
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 6250,9673
Least Common Multiple of Numerators i.e. LCM of 6250,9673 is 60456250.
GCF of Denominators means GCF of 519,8172 as per the given fractions.
GCF of 519,8172 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6250,9673
Given numbers has no common factors except 1. So, there LCM is their product i.e 60456250
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 6250,9673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6250,9673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6250,9673) x common factors =1 x 1 = 1
LCM(6250,9673) = ( 6250 × 9673 ) / 1
LCM(6250,9673) = 60456250 / 1
LCM(6250,9673) = 60456250
Lets's calculate GCF of 519,8172
3 | 519, 8172 |
173, 2724 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60456250/3
Therefore the LCM of Fractions 6250/519,9673/8172 is 60456250/3
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 8172
List of positive integer factors of 8172 that divides 8172 without a remainder.
1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 519,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 519,8172 is 3.
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 6250/519, 9673/8172?
Answer: LCM of Numerators as per given numbers 6250/519, 9673/8172 is
LCM of Numerators i.e. for 6250,9673 is 60456250
GCF of denominators i.e. for 519,8172 is 3.
Thus, LCM of Fractions is 60456250/3.Finally, LCM of Fractions for 6250/519, 9673/8172 is 60456250/3.