Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 720/15, 278/5411 quickly i.e. 100080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 720/15, 278/5411 is 100080.
LCM(720/15, 278/5411) = 100080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 720/15,278/5411
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 720,278
Least Common Multiple of Numerators i.e. LCM of 720,278 is 100080.
GCF of Denominators means GCF of 15,5411 as per the given fractions.
GCF of 15,5411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 720,278
2 | 720, 278 |
360, 139 |
∴ So the LCM of the given numbers is 2 x 360 x 139 = 100080
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 720,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(720,278) x common factors =2 x 1 = 2
LCM(720,278) = ( 720 × 278 ) / 2
LCM(720,278) = 200160 / 2
LCM(720,278) = 100080
Lets's calculate GCF of 15,5411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100080/1
Therefore the LCM of Fractions 720/15,278/5411 is 100080
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 5411
List of positive integer factors of 5411 that divides 5411 without a remainder.
1,7,773,5411
Greatest Common Factor
We found the factors 15,5411 . The biggest common factor number is the GCF number.
So the greatest common factor 15,5411 is 1.
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 720/15, 278/5411?
Answer: LCM of Numerators as per given numbers 720/15, 278/5411 is
LCM of Numerators i.e. for 720,278 is 100080
GCF of denominators i.e. for 15,5411 is 1.
Thus, LCM of Fractions is 100080.Finally, LCM of Fractions for 720/15, 278/5411 is 100080.