Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7949/570, 1388/5078 quickly i.e. 5516606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7949/570, 1388/5078 is 5516606.
LCM(7949/570, 1388/5078) = 5516606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7949/570,1388/5078
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 7949,1388
Least Common Multiple of Numerators i.e. LCM of 7949,1388 is 11033212.
GCF of Denominators means GCF of 570,5078 as per the given fractions.
GCF of 570,5078 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7949,1388
Given numbers has no common factors except 1. So, there LCM is their product i.e 11033212
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 7949,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7949,1388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7949,1388) x common factors =1 x 1 = 1
LCM(7949,1388) = ( 7949 × 1388 ) / 1
LCM(7949,1388) = 11033212 / 1
LCM(7949,1388) = 11033212
Lets's calculate GCF of 570,5078
2 | 570, 5078 |
285, 2539 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11033212/2
Therefore the LCM of Fractions 7949/570,1388/5078 is 5516606
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 5078
List of positive integer factors of 5078 that divides 5078 without a remainder.
1,2,2539,5078
Greatest Common Factor
We found the factors 570,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 570,5078 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 7949/570, 1388/5078?
Answer: LCM of Numerators as per given numbers 7949/570, 1388/5078 is
LCM of Numerators i.e. for 7949,1388 is 11033212
GCF of denominators i.e. for 570,5078 is 2.
Thus, LCM of Fractions is 5516606.Finally, LCM of Fractions for 7949/570, 1388/5078 is 5516606.