Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 344/84, 496/14, 721/147 quickly i.e. 2196784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 344/84, 496/14, 721/147 is 2196784.
LCM(344/84, 496/14, 721/147) = 2196784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 344/84,496/14,721/147
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 344,496,721
Least Common Multiple of Numerators i.e. LCM of 344,496,721 is 15377488.
GCF of Denominators means GCF of 84,14,147 as per the given fractions.
GCF of 84,14,147 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 344,496,721
2 | 344, 496, 721 |
2 | 172, 248, 721 |
2 | 86, 124, 721 |
43, 62, 721 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 62 x 721 = 15377488
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 344,496,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,496,721) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(344,496,721) x common factors =1 x 8 = 8
LCM(344,496,721) = ( 344 × 496 × 721 ) / 8
LCM(344,496,721) = 123019904 / 8
LCM(344,496,721) = 15377488
Lets's calculate GCF of 84,14,147
7 | 84, 14, 147 |
12, 2, 21 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15377488/7
Therefore the LCM of Fractions 344/84,496/14,721/147 is 2196784
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 84,14,147 . The biggest common factor number is the GCF number.
So the greatest common factor 84,14,147 is 7.
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 344/84, 496/14, 721/147?
Answer: LCM of Numerators as per given numbers 344/84, 496/14, 721/147 is
LCM of Numerators i.e. for 344,496,721 is 15377488
GCF of denominators i.e. for 84,14,147 is 7.
Thus, LCM of Fractions is 2196784.Finally, LCM of Fractions for 344/84, 496/14, 721/147 is 2196784.