Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7507/742, 4214/5780 quickly i.e. 15817249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7507/742, 4214/5780 is 15817249.
LCM(7507/742, 4214/5780) = 15817249
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7507/742,4214/5780
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 7507,4214
Least Common Multiple of Numerators i.e. LCM of 7507,4214 is 31634498.
GCF of Denominators means GCF of 742,5780 as per the given fractions.
GCF of 742,5780 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7507,4214
Given numbers has no common factors except 1. So, there LCM is their product i.e 31634498
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 7507,4214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7507,4214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7507,4214) x common factors =1 x 1 = 1
LCM(7507,4214) = ( 7507 × 4214 ) / 1
LCM(7507,4214) = 31634498 / 1
LCM(7507,4214) = 31634498
Lets's calculate GCF of 742,5780
2 | 742, 5780 |
371, 2890 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31634498/2
Therefore the LCM of Fractions 7507/742,4214/5780 is 15817249
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 5780
List of positive integer factors of 5780 that divides 5780 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780
Greatest Common Factor
We found the factors 742,5780 . The biggest common factor number is the GCF number.
So the greatest common factor 742,5780 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 7507/742, 4214/5780?
Answer: LCM of Numerators as per given numbers 7507/742, 4214/5780 is
LCM of Numerators i.e. for 7507,4214 is 31634498
GCF of denominators i.e. for 742,5780 is 2.
Thus, LCM of Fractions is 15817249.Finally, LCM of Fractions for 7507/742, 4214/5780 is 15817249.