Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/77, 81/80, 56/40, 55/695 quickly i.e. 22203720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/77, 81/80, 56/40, 55/695 is 22203720.
LCM(89/77, 81/80, 56/40, 55/695) = 22203720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/77,81/80,56/40,55/695
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 89,81,56,55
Least Common Multiple of Numerators i.e. LCM of 89,81,56,55 is 22203720.
GCF of Denominators means GCF of 77,80,40,695 as per the given fractions.
GCF of 77,80,40,695 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,81,56,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 22203720
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 89,81,56,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,81,56,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,81,56,55) x common factors =1 x 1 = 1
LCM(89,81,56,55) = ( 89 × 81 × 56 × 55 ) / 1
LCM(89,81,56,55) = 22203720 / 1
LCM(89,81,56,55) = 22203720
Lets's calculate GCF of 77,80,40,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22203720/1
Therefore the LCM of Fractions 89/77,81/80,56/40,55/695 is 22203720
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
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 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 77,80,40,695 . The biggest common factor number is the GCF number.
So the greatest common factor 77,80,40,695 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 89/77, 81/80, 56/40, 55/695?
Answer: LCM of Numerators as per given numbers 89/77, 81/80, 56/40, 55/695 is
LCM of Numerators i.e. for 89,81,56,55 is 22203720
GCF of denominators i.e. for 77,80,40,695 is 1.
Thus, LCM of Fractions is 22203720.Finally, LCM of Fractions for 89/77, 81/80, 56/40, 55/695 is 22203720.