Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4970/20, 7247/254 quickly i.e. 18008795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4970/20, 7247/254 is 18008795.
LCM(4970/20, 7247/254) = 18008795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4970/20,7247/254
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 4970,7247
Least Common Multiple of Numerators i.e. LCM of 4970,7247 is 36017590.
GCF of Denominators means GCF of 20,254 as per the given fractions.
GCF of 20,254 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4970,7247
Given numbers has no common factors except 1. So, there LCM is their product i.e 36017590
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 4970,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4970,7247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4970,7247) x common factors =1 x 1 = 1
LCM(4970,7247) = ( 4970 × 7247 ) / 1
LCM(4970,7247) = 36017590 / 1
LCM(4970,7247) = 36017590
Lets's calculate GCF of 20,254
2 | 20, 254 |
10, 127 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36017590/2
Therefore the LCM of Fractions 4970/20,7247/254 is 18008795
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 20,254 . The biggest common factor number is the GCF number.
So the greatest common factor 20,254 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 4970/20, 7247/254?
Answer: LCM of Numerators as per given numbers 4970/20, 7247/254 is
LCM of Numerators i.e. for 4970,7247 is 36017590
GCF of denominators i.e. for 20,254 is 2.
Thus, LCM of Fractions is 18008795.Finally, LCM of Fractions for 4970/20, 7247/254 is 18008795.