Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 294/51, 545/84, 256/249 quickly i.e. 6836480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 294/51, 545/84, 256/249 is 6836480.
LCM(294/51, 545/84, 256/249) = 6836480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 294/51,545/84,256/249
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 294,545,256
Least Common Multiple of Numerators i.e. LCM of 294,545,256 is 20509440.
GCF of Denominators means GCF of 51,84,249 as per the given fractions.
GCF of 51,84,249 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 294,545,256
2 | 294, 545, 256 |
147, 545, 128 |
∴ So the LCM of the given numbers is 2 x 147 x 545 x 128 = 20509440
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 294,545,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,545,256) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(294,545,256) x common factors =1 x 2 = 2
LCM(294,545,256) = ( 294 × 545 × 256 ) / 2
LCM(294,545,256) = 41018880 / 2
LCM(294,545,256) = 20509440
Lets's calculate GCF of 51,84,249
3 | 51, 84, 249 |
17, 28, 83 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20509440/3
Therefore the LCM of Fractions 294/51,545/84,256/249 is 6836480
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
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 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 51,84,249 . The biggest common factor number is the GCF number.
So the greatest common factor 51,84,249 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 294/51, 545/84, 256/249?
Answer: LCM of Numerators as per given numbers 294/51, 545/84, 256/249 is
LCM of Numerators i.e. for 294,545,256 is 20509440
GCF of denominators i.e. for 51,84,249 is 3.
Thus, LCM of Fractions is 6836480.Finally, LCM of Fractions for 294/51, 545/84, 256/249 is 6836480.