Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/222, 903/439, 652/214 quickly i.e. 7065072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/222, 903/439, 652/214 is 7065072.
LCM(144/222, 903/439, 652/214) = 7065072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/222,903/439,652/214
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 144,903,652
Least Common Multiple of Numerators i.e. LCM of 144,903,652 is 7065072.
GCF of Denominators means GCF of 222,439,214 as per the given fractions.
GCF of 222,439,214 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,903,652
2 | 144, 903, 652 |
2 | 72, 903, 326 |
3 | 36, 903, 163 |
12, 301, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 301 x 163 = 7065072
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 144,903,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,903,652) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(144,903,652) x common factors =1 x 12 = 12
LCM(144,903,652) = ( 144 × 903 × 652 ) / 12
LCM(144,903,652) = 84780864 / 12
LCM(144,903,652) = 7065072
Lets's calculate GCF of 222,439,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7065072/1
Therefore the LCM of Fractions 144/222,903/439,652/214 is 7065072
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 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 222,439,214 . The biggest common factor number is the GCF number.
So the greatest common factor 222,439,214 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 144/222, 903/439, 652/214?
Answer: LCM of Numerators as per given numbers 144/222, 903/439, 652/214 is
LCM of Numerators i.e. for 144,903,652 is 7065072
GCF of denominators i.e. for 222,439,214 is 1.
Thus, LCM of Fractions is 7065072.Finally, LCM of Fractions for 144/222, 903/439, 652/214 is 7065072.