Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5573/380, 4953/2147 quickly i.e. 27603069/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5573/380, 4953/2147 is 27603069/19.
LCM(5573/380, 4953/2147) = 27603069/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5573/380,4953/2147
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 5573,4953
Least Common Multiple of Numerators i.e. LCM of 5573,4953 is 27603069.
GCF of Denominators means GCF of 380,2147 as per the given fractions.
GCF of 380,2147 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5573,4953
Given numbers has no common factors except 1. So, there LCM is their product i.e 27603069
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 5573,4953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5573,4953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5573,4953) x common factors =1 x 1 = 1
LCM(5573,4953) = ( 5573 × 4953 ) / 1
LCM(5573,4953) = 27603069 / 1
LCM(5573,4953) = 27603069
Lets's calculate GCF of 380,2147
19 | 380, 2147 |
20, 113 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27603069/19
Therefore the LCM of Fractions 5573/380,4953/2147 is 27603069/19
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 2147
List of positive integer factors of 2147 that divides 2147 without a remainder.
1,19,113,2147
Greatest Common Factor
We found the factors 380,2147 . The biggest common factor number is the GCF number.
So the greatest common factor 380,2147 is 19.
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 5573/380, 4953/2147?
Answer: LCM of Numerators as per given numbers 5573/380, 4953/2147 is
LCM of Numerators i.e. for 5573,4953 is 27603069
GCF of denominators i.e. for 380,2147 is 19.
Thus, LCM of Fractions is 27603069/19.Finally, LCM of Fractions for 5573/380, 4953/2147 is 27603069/19.