Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/90, 263/90, 180/120 quickly i.e. 25248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/90, 263/90, 180/120 is 25248.
LCM(64/90, 263/90, 180/120) = 25248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/90,263/90,180/120
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 64,263,180
Least Common Multiple of Numerators i.e. LCM of 64,263,180 is 757440.
GCF of Denominators means GCF of 90,90,120 as per the given fractions.
GCF of 90,90,120 is 30 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,263,180
2 | 64, 263, 180 |
2 | 32, 263, 90 |
16, 263, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 263 x 45 = 757440
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 64,263,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,263,180) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,263,180) x common factors =1 x 4 = 4
LCM(64,263,180) = ( 64 × 263 × 180 ) / 4
LCM(64,263,180) = 3029760 / 4
LCM(64,263,180) = 757440
Lets's calculate GCF of 90,90,120
2 | 90, 90, 120 |
3 | 45, 45, 60 |
5 | 15, 15, 20 |
3, 3, 4 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757440/30
Therefore the LCM of Fractions 64/90,263/90,180/120 is 25248
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 90,90,120 . The biggest common factor number is the GCF number.
So the greatest common factor 90,90,120 is 30.
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 64/90, 263/90, 180/120?
Answer: LCM of Numerators as per given numbers 64/90, 263/90, 180/120 is
LCM of Numerators i.e. for 64,263,180 is 757440
GCF of denominators i.e. for 90,90,120 is 30.
Thus, LCM of Fractions is 25248.Finally, LCM of Fractions for 64/90, 263/90, 180/120 is 25248.