Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/222, 48/270, 488/145 quickly i.e. 8784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/222, 48/270, 488/145 is 8784.
LCM(72/222, 48/270, 488/145) = 8784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/222,48/270,488/145
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 72,48,488
Least Common Multiple of Numerators i.e. LCM of 72,48,488 is 8784.
GCF of Denominators means GCF of 222,270,145 as per the given fractions.
GCF of 222,270,145 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,48,488
2 | 72, 48, 488 |
2 | 36, 24, 244 |
2 | 18, 12, 122 |
3 | 9, 6, 61 |
3, 2, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 61 = 8784
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 72,48,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,48,488) = 8
common factors(in case of two or more numbers have common factors) = 24
GCF(72,48,488) x common factors =8 x 24 = 192
LCM(72,48,488) = ( 72 × 48 × 488 ) / 192
LCM(72,48,488) = 1686528 / 192
LCM(72,48,488) = 8784
Lets's calculate GCF of 222,270,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8784/1
Therefore the LCM of Fractions 72/222,48/270,488/145 is 8784
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 222,270,145 . The biggest common factor number is the GCF number.
So the greatest common factor 222,270,145 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 72/222, 48/270, 488/145?
Answer: LCM of Numerators as per given numbers 72/222, 48/270, 488/145 is
LCM of Numerators i.e. for 72,48,488 is 8784
GCF of denominators i.e. for 222,270,145 is 1.
Thus, LCM of Fractions is 8784.Finally, LCM of Fractions for 72/222, 48/270, 488/145 is 8784.