Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/95, 55/60, 64/20, 65/101 quickly i.e. 45760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/95, 55/60, 64/20, 65/101 is 45760.
LCM(88/95, 55/60, 64/20, 65/101) = 45760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/95,55/60,64/20,65/101
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 88,55,64,65
Least Common Multiple of Numerators i.e. LCM of 88,55,64,65 is 45760.
GCF of Denominators means GCF of 95,60,20,101 as per the given fractions.
GCF of 95,60,20,101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,55,64,65
2 | 88, 55, 64, 65 |
2 | 44, 55, 32, 65 |
2 | 22, 55, 16, 65 |
5 | 11, 55, 8, 65 |
11 | 11, 11, 8, 13 |
1, 1, 8, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 1 x 8 x 13 = 45760
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 88,55,64,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,55,64,65) = 1
common factors(in case of two or more numbers have common factors) = 440
GCF(88,55,64,65) x common factors =1 x 440 = 440
LCM(88,55,64,65) = ( 88 × 55 × 64 × 65 ) / 440
LCM(88,55,64,65) = 20134400 / 440
LCM(88,55,64,65) = 45760
Lets's calculate GCF of 95,60,20,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45760/1
Therefore the LCM of Fractions 88/95,55/60,64/20,65/101 is 45760
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 95,60,20,101 . The biggest common factor number is the GCF number.
So the greatest common factor 95,60,20,101 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 88/95, 55/60, 64/20, 65/101?
Answer: LCM of Numerators as per given numbers 88/95, 55/60, 64/20, 65/101 is
LCM of Numerators i.e. for 88,55,64,65 is 45760
GCF of denominators i.e. for 95,60,20,101 is 1.
Thus, LCM of Fractions is 45760.Finally, LCM of Fractions for 88/95, 55/60, 64/20, 65/101 is 45760.