Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/80, 493/62, 917/534 quickly i.e. 18083240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/80, 493/62, 917/534 is 18083240.
LCM(80/80, 493/62, 917/534) = 18083240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/80,493/62,917/534
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 80,493,917
Least Common Multiple of Numerators i.e. LCM of 80,493,917 is 36166480.
GCF of Denominators means GCF of 80,62,534 as per the given fractions.
GCF of 80,62,534 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,493,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 36166480
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 80,493,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,493,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,493,917) x common factors =1 x 1 = 1
LCM(80,493,917) = ( 80 × 493 × 917 ) / 1
LCM(80,493,917) = 36166480 / 1
LCM(80,493,917) = 36166480
Lets's calculate GCF of 80,62,534
2 | 80, 62, 534 |
40, 31, 267 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36166480/2
Therefore the LCM of Fractions 80/80,493/62,917/534 is 18083240
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 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 80,62,534 . The biggest common factor number is the GCF number.
So the greatest common factor 80,62,534 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 80/80, 493/62, 917/534?
Answer: LCM of Numerators as per given numbers 80/80, 493/62, 917/534 is
LCM of Numerators i.e. for 80,493,917 is 36166480
GCF of denominators i.e. for 80,62,534 is 2.
Thus, LCM of Fractions is 18083240.Finally, LCM of Fractions for 80/80, 493/62, 917/534 is 18083240.