Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/66, 35/99, 85/55, 20/752 quickly i.e. 45220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/66, 35/99, 85/55, 20/752 is 45220.
LCM(95/66, 35/99, 85/55, 20/752) = 45220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/66,35/99,85/55,20/752
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 95,35,85,20
Least Common Multiple of Numerators i.e. LCM of 95,35,85,20 is 45220.
GCF of Denominators means GCF of 66,99,55,752 as per the given fractions.
GCF of 66,99,55,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,35,85,20
5 | 95, 35, 85, 20 |
19, 7, 17, 4 |
∴ So the LCM of the given numbers is 5 x 19 x 7 x 17 x 4 = 45220
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 95,35,85,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,35,85,20) = 5
common factors(in case of two or more numbers have common factors) = 25
GCF(95,35,85,20) x common factors =5 x 25 = 125
LCM(95,35,85,20) = ( 95 × 35 × 85 × 20 ) / 125
LCM(95,35,85,20) = 5652500 / 125
LCM(95,35,85,20) = 45220
Lets's calculate GCF of 66,99,55,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45220/1
Therefore the LCM of Fractions 95/66,35/99,85/55,20/752 is 45220
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 66,99,55,752 . The biggest common factor number is the GCF number.
So the greatest common factor 66,99,55,752 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 95/66, 35/99, 85/55, 20/752?
Answer: LCM of Numerators as per given numbers 95/66, 35/99, 85/55, 20/752 is
LCM of Numerators i.e. for 95,35,85,20 is 45220
GCF of denominators i.e. for 66,99,55,752 is 1.
Thus, LCM of Fractions is 45220.Finally, LCM of Fractions for 95/66, 35/99, 85/55, 20/752 is 45220.