Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/97, 689/7192 quickly i.e. 151580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/97, 689/7192 is 151580.
LCM(220/97, 689/7192) = 151580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/97,689/7192
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 220,689
Least Common Multiple of Numerators i.e. LCM of 220,689 is 151580.
GCF of Denominators means GCF of 97,7192 as per the given fractions.
GCF of 97,7192 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 151580
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 220,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,689) x common factors =1 x 1 = 1
LCM(220,689) = ( 220 × 689 ) / 1
LCM(220,689) = 151580 / 1
LCM(220,689) = 151580
Lets's calculate GCF of 97,7192
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151580/1
Therefore the LCM of Fractions 220/97,689/7192 is 151580
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 7192
List of positive integer factors of 7192 that divides 7192 without a remainder.
1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192
Greatest Common Factor
We found the factors 97,7192 . The biggest common factor number is the GCF number.
So the greatest common factor 97,7192 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 220/97, 689/7192?
Answer: LCM of Numerators as per given numbers 220/97, 689/7192 is
LCM of Numerators i.e. for 220,689 is 151580
GCF of denominators i.e. for 97,7192 is 1.
Thus, LCM of Fractions is 151580.Finally, LCM of Fractions for 220/97, 689/7192 is 151580.