Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/77, 55/99, 59/54, 88/270 quickly i.e. 25960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/77, 55/99, 59/54, 88/270 is 25960.
LCM(55/77, 55/99, 59/54, 88/270) = 25960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/77,55/99,59/54,88/270
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 55,55,59,88
Least Common Multiple of Numerators i.e. LCM of 55,55,59,88 is 25960.
GCF of Denominators means GCF of 77,99,54,270 as per the given fractions.
GCF of 77,99,54,270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,55,59,88
5 | 55, 55, 59, 88 |
11 | 11, 11, 59, 88 |
1, 1, 59, 8 |
∴ So the LCM of the given numbers is 5 x 11 x 1 x 1 x 59 x 8 = 25960
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 55,55,59,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,55,59,88) = 1
common factors(in case of two or more numbers have common factors) = 605
GCF(55,55,59,88) x common factors =1 x 605 = 605
LCM(55,55,59,88) = ( 55 × 55 × 59 × 88 ) / 605
LCM(55,55,59,88) = 15705800 / 605
LCM(55,55,59,88) = 25960
Lets's calculate GCF of 77,99,54,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25960/1
Therefore the LCM of Fractions 55/77,55/99,59/54,88/270 is 25960
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 77,99,54,270 . The biggest common factor number is the GCF number.
So the greatest common factor 77,99,54,270 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 55/77, 55/99, 59/54, 88/270?
Answer: LCM of Numerators as per given numbers 55/77, 55/99, 59/54, 88/270 is
LCM of Numerators i.e. for 55,55,59,88 is 25960
GCF of denominators i.e. for 77,99,54,270 is 1.
Thus, LCM of Fractions is 25960.Finally, LCM of Fractions for 55/77, 55/99, 59/54, 88/270 is 25960.