Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 697/80, 220/1459 quickly i.e. 153340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 697/80, 220/1459 is 153340.
LCM(697/80, 220/1459) = 153340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 697/80,220/1459
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 697,220
Least Common Multiple of Numerators i.e. LCM of 697,220 is 153340.
GCF of Denominators means GCF of 80,1459 as per the given fractions.
GCF of 80,1459 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 697,220
Given numbers has no common factors except 1. So, there LCM is their product i.e 153340
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 697,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,220) x common factors =1 x 1 = 1
LCM(697,220) = ( 697 × 220 ) / 1
LCM(697,220) = 153340 / 1
LCM(697,220) = 153340
Lets's calculate GCF of 80,1459
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153340/1
Therefore the LCM of Fractions 697/80,220/1459 is 153340
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 1459
List of positive integer factors of 1459 that divides 1459 without a remainder.
1,1459
Greatest Common Factor
We found the factors 80,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 80,1459 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 697/80, 220/1459?
Answer: LCM of Numerators as per given numbers 697/80, 220/1459 is
LCM of Numerators i.e. for 697,220 is 153340
GCF of denominators i.e. for 80,1459 is 1.
Thus, LCM of Fractions is 153340.Finally, LCM of Fractions for 697/80, 220/1459 is 153340.