Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/600, 9054/6214 quickly i.e. 22635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/600, 9054/6214 is 22635.
LCM(30/600, 9054/6214) = 22635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/600,9054/6214
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 30,9054
Least Common Multiple of Numerators i.e. LCM of 30,9054 is 45270.
GCF of Denominators means GCF of 600,6214 as per the given fractions.
GCF of 600,6214 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,9054
2 | 30, 9054 |
3 | 15, 4527 |
5, 1509 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1509 = 45270
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 30,9054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,9054) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(30,9054) x common factors =6 x 1 = 6
LCM(30,9054) = ( 30 × 9054 ) / 6
LCM(30,9054) = 271620 / 6
LCM(30,9054) = 45270
Lets's calculate GCF of 600,6214
2 | 600, 6214 |
300, 3107 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45270/2
Therefore the LCM of Fractions 30/600,9054/6214 is 22635
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Factors of 6214
List of positive integer factors of 6214 that divides 6214 without a remainder.
1,2,13,26,239,478,3107,6214
Greatest Common Factor
We found the factors 600,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 600,6214 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 30/600, 9054/6214?
Answer: LCM of Numerators as per given numbers 30/600, 9054/6214 is
LCM of Numerators i.e. for 30,9054 is 45270
GCF of denominators i.e. for 600,6214 is 2.
Thus, LCM of Fractions is 22635.Finally, LCM of Fractions for 30/600, 9054/6214 is 22635.