Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/222, 276/214, 348/723 quickly i.e. 136068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/222, 276/214, 348/723 is 136068.
LCM(204/222, 276/214, 348/723) = 136068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/222,276/214,348/723
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 204,276,348
Least Common Multiple of Numerators i.e. LCM of 204,276,348 is 136068.
GCF of Denominators means GCF of 222,214,723 as per the given fractions.
GCF of 222,214,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,276,348
2 | 204, 276, 348 |
2 | 102, 138, 174 |
3 | 51, 69, 87 |
17, 23, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 23 x 29 = 136068
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 204,276,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,276,348) = 12
common factors(in case of two or more numbers have common factors) = 12
GCF(204,276,348) x common factors =12 x 12 = 144
LCM(204,276,348) = ( 204 × 276 × 348 ) / 144
LCM(204,276,348) = 19593792 / 144
LCM(204,276,348) = 136068
Lets's calculate GCF of 222,214,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136068/1
Therefore the LCM of Fractions 204/222,276/214,348/723 is 136068
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 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 222,214,723 . The biggest common factor number is the GCF number.
So the greatest common factor 222,214,723 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 204/222, 276/214, 348/723?
Answer: LCM of Numerators as per given numbers 204/222, 276/214, 348/723 is
LCM of Numerators i.e. for 204,276,348 is 136068
GCF of denominators i.e. for 222,214,723 is 1.
Thus, LCM of Fractions is 136068.Finally, LCM of Fractions for 204/222, 276/214, 348/723 is 136068.