Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 656/34, 355/80, 479/460 quickly i.e. 55774760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 656/34, 355/80, 479/460 is 55774760.
LCM(656/34, 355/80, 479/460) = 55774760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 656/34,355/80,479/460
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 656,355,479
Least Common Multiple of Numerators i.e. LCM of 656,355,479 is 111549520.
GCF of Denominators means GCF of 34,80,460 as per the given fractions.
GCF of 34,80,460 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 656,355,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 111549520
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 656,355,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,355,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,355,479) x common factors =1 x 1 = 1
LCM(656,355,479) = ( 656 × 355 × 479 ) / 1
LCM(656,355,479) = 111549520 / 1
LCM(656,355,479) = 111549520
Lets's calculate GCF of 34,80,460
2 | 34, 80, 460 |
17, 40, 230 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111549520/2
Therefore the LCM of Fractions 656/34,355/80,479/460 is 55774760
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 34,80,460 . The biggest common factor number is the GCF number.
So the greatest common factor 34,80,460 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 656/34, 355/80, 479/460?
Answer: LCM of Numerators as per given numbers 656/34, 355/80, 479/460 is
LCM of Numerators i.e. for 656,355,479 is 111549520
GCF of denominators i.e. for 34,80,460 is 2.
Thus, LCM of Fractions is 55774760.Finally, LCM of Fractions for 656/34, 355/80, 479/460 is 55774760.