Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4540/190, 3000/6230 quickly i.e. 68100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4540/190, 3000/6230 is 68100.
LCM(4540/190, 3000/6230) = 68100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4540/190,3000/6230
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 4540,3000
Least Common Multiple of Numerators i.e. LCM of 4540,3000 is 681000.
GCF of Denominators means GCF of 190,6230 as per the given fractions.
GCF of 190,6230 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4540,3000
2 | 4540, 3000 |
2 | 2270, 1500 |
5 | 1135, 750 |
227, 150 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 227 x 150 = 681000
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 4540,3000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4540,3000) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(4540,3000) x common factors =20 x 1 = 20
LCM(4540,3000) = ( 4540 × 3000 ) / 20
LCM(4540,3000) = 13620000 / 20
LCM(4540,3000) = 681000
Lets's calculate GCF of 190,6230
2 | 190, 6230 |
5 | 95, 3115 |
19, 623 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 681000/10
Therefore the LCM of Fractions 4540/190,3000/6230 is 68100
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 6230
List of positive integer factors of 6230 that divides 6230 without a remainder.
1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230
Greatest Common Factor
We found the factors 190,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 190,6230 is 10.
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 4540/190, 3000/6230?
Answer: LCM of Numerators as per given numbers 4540/190, 3000/6230 is
LCM of Numerators i.e. for 4540,3000 is 681000
GCF of denominators i.e. for 190,6230 is 10.
Thus, LCM of Fractions is 68100.Finally, LCM of Fractions for 4540/190, 3000/6230 is 68100.