Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 113/549, 6204/633 quickly i.e. 233684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 113/549, 6204/633 is 233684.
LCM(113/549, 6204/633) = 233684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 113/549,6204/633
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 113,6204
Least Common Multiple of Numerators i.e. LCM of 113,6204 is 701052.
GCF of Denominators means GCF of 549,633 as per the given fractions.
GCF of 549,633 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 113,6204
Given numbers has no common factors except 1. So, there LCM is their product i.e 701052
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 113,6204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,6204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,6204) x common factors =1 x 1 = 1
LCM(113,6204) = ( 113 × 6204 ) / 1
LCM(113,6204) = 701052 / 1
LCM(113,6204) = 701052
Lets's calculate GCF of 549,633
3 | 549, 633 |
183, 211 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 701052/3
Therefore the LCM of Fractions 113/549,6204/633 is 233684
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 549,633 . The biggest common factor number is the GCF number.
So the greatest common factor 549,633 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 113/549, 6204/633?
Answer: LCM of Numerators as per given numbers 113/549, 6204/633 is
LCM of Numerators i.e. for 113,6204 is 701052
GCF of denominators i.e. for 549,633 is 3.
Thus, LCM of Fractions is 233684.Finally, LCM of Fractions for 113/549, 6204/633 is 233684.