Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 280/916, 491/578 quickly i.e. 68740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 280/916, 491/578 is 68740.
LCM(280/916, 491/578) = 68740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 280/916,491/578
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 280,491
Least Common Multiple of Numerators i.e. LCM of 280,491 is 137480.
GCF of Denominators means GCF of 916,578 as per the given fractions.
GCF of 916,578 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 280,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 137480
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 280,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,491) x common factors =1 x 1 = 1
LCM(280,491) = ( 280 × 491 ) / 1
LCM(280,491) = 137480 / 1
LCM(280,491) = 137480
Lets's calculate GCF of 916,578
2 | 916, 578 |
458, 289 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137480/2
Therefore the LCM of Fractions 280/916,491/578 is 68740
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 916,578 . The biggest common factor number is the GCF number.
So the greatest common factor 916,578 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 280/916, 491/578?
Answer: LCM of Numerators as per given numbers 280/916, 491/578 is
LCM of Numerators i.e. for 280,491 is 137480
GCF of denominators i.e. for 916,578 is 2.
Thus, LCM of Fractions is 68740.Finally, LCM of Fractions for 280/916, 491/578 is 68740.