Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5715/734, 1417/7240 quickly i.e. 8098155/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5715/734, 1417/7240 is 8098155/2.
LCM(5715/734, 1417/7240) = 8098155/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5715/734,1417/7240
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 5715,1417
Least Common Multiple of Numerators i.e. LCM of 5715,1417 is 8098155.
GCF of Denominators means GCF of 734,7240 as per the given fractions.
GCF of 734,7240 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5715,1417
Given numbers has no common factors except 1. So, there LCM is their product i.e 8098155
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 5715,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5715,1417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5715,1417) x common factors =1 x 1 = 1
LCM(5715,1417) = ( 5715 × 1417 ) / 1
LCM(5715,1417) = 8098155 / 1
LCM(5715,1417) = 8098155
Lets's calculate GCF of 734,7240
2 | 734, 7240 |
367, 3620 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8098155/2
Therefore the LCM of Fractions 5715/734,1417/7240 is 8098155/2
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 7240
List of positive integer factors of 7240 that divides 7240 without a remainder.
1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Greatest Common Factor
We found the factors 734,7240 . The biggest common factor number is the GCF number.
So the greatest common factor 734,7240 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 5715/734, 1417/7240?
Answer: LCM of Numerators as per given numbers 5715/734, 1417/7240 is
LCM of Numerators i.e. for 5715,1417 is 8098155
GCF of denominators i.e. for 734,7240 is 2.
Thus, LCM of Fractions is 8098155/2.Finally, LCM of Fractions for 5715/734, 1417/7240 is 8098155/2.