Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/659, 53/708, 417/495 quickly i.e. 972444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/659, 53/708, 417/495 is 972444.
LCM(44/659, 53/708, 417/495) = 972444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/659,53/708,417/495
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 44,53,417
Least Common Multiple of Numerators i.e. LCM of 44,53,417 is 972444.
GCF of Denominators means GCF of 659,708,495 as per the given fractions.
GCF of 659,708,495 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,53,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 972444
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 44,53,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,53,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,53,417) x common factors =1 x 1 = 1
LCM(44,53,417) = ( 44 × 53 × 417 ) / 1
LCM(44,53,417) = 972444 / 1
LCM(44,53,417) = 972444
Lets's calculate GCF of 659,708,495
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972444/1
Therefore the LCM of Fractions 44/659,53/708,417/495 is 972444
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 659,708,495 . The biggest common factor number is the GCF number.
So the greatest common factor 659,708,495 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 44/659, 53/708, 417/495?
Answer: LCM of Numerators as per given numbers 44/659, 53/708, 417/495 is
LCM of Numerators i.e. for 44,53,417 is 972444
GCF of denominators i.e. for 659,708,495 is 1.
Thus, LCM of Fractions is 972444.Finally, LCM of Fractions for 44/659, 53/708, 417/495 is 972444.