Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 548/93, 108/96, 130/12 quickly i.e. 320580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 548/93, 108/96, 130/12 is 320580.
LCM(548/93, 108/96, 130/12) = 320580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 548/93,108/96,130/12
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 548,108,130
Least Common Multiple of Numerators i.e. LCM of 548,108,130 is 961740.
GCF of Denominators means GCF of 93,96,12 as per the given fractions.
GCF of 93,96,12 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 548,108,130
2 | 548, 108, 130 |
2 | 274, 54, 65 |
137, 27, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 27 x 65 = 961740
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 548,108,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,108,130) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(548,108,130) x common factors =2 x 4 = 8
LCM(548,108,130) = ( 548 × 108 × 130 ) / 8
LCM(548,108,130) = 7693920 / 8
LCM(548,108,130) = 961740
Lets's calculate GCF of 93,96,12
3 | 93, 96, 12 |
31, 32, 4 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 961740/3
Therefore the LCM of Fractions 548/93,108/96,130/12 is 320580
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 93,96,12 . The biggest common factor number is the GCF number.
So the greatest common factor 93,96,12 is 3.
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 548/93, 108/96, 130/12?
Answer: LCM of Numerators as per given numbers 548/93, 108/96, 130/12 is
LCM of Numerators i.e. for 548,108,130 is 961740
GCF of denominators i.e. for 93,96,12 is 3.
Thus, LCM of Fractions is 320580.Finally, LCM of Fractions for 548/93, 108/96, 130/12 is 320580.