Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/95, 432/79, 768/180 quickly i.e. 48384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/95, 432/79, 768/180 is 48384.
LCM(63/95, 432/79, 768/180) = 48384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/95,432/79,768/180
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 63,432,768
Least Common Multiple of Numerators i.e. LCM of 63,432,768 is 48384.
GCF of Denominators means GCF of 95,79,180 as per the given fractions.
GCF of 95,79,180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,432,768
2 | 63, 432, 768 |
2 | 63, 216, 384 |
2 | 63, 108, 192 |
2 | 63, 54, 96 |
3 | 63, 27, 48 |
3 | 21, 9, 16 |
7, 3, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 7 x 3 x 16 = 48384
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 63,432,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,432,768) = 3
common factors(in case of two or more numbers have common factors) = 144
GCF(63,432,768) x common factors =3 x 144 = 432
LCM(63,432,768) = ( 63 × 432 × 768 ) / 432
LCM(63,432,768) = 20901888 / 432
LCM(63,432,768) = 48384
Lets's calculate GCF of 95,79,180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48384/1
Therefore the LCM of Fractions 63/95,432/79,768/180 is 48384
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 95,79,180 . The biggest common factor number is the GCF number.
So the greatest common factor 95,79,180 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 63/95, 432/79, 768/180?
Answer: LCM of Numerators as per given numbers 63/95, 432/79, 768/180 is
LCM of Numerators i.e. for 63,432,768 is 48384
GCF of denominators i.e. for 95,79,180 is 1.
Thus, LCM of Fractions is 48384.Finally, LCM of Fractions for 63/95, 432/79, 768/180 is 48384.