Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/256, 102/839, 674/708 quickly i.e. 378114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/256, 102/839, 674/708 is 378114.
LCM(33/256, 102/839, 674/708) = 378114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/256,102/839,674/708
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 33,102,674
Least Common Multiple of Numerators i.e. LCM of 33,102,674 is 378114.
GCF of Denominators means GCF of 256,839,708 as per the given fractions.
GCF of 256,839,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,102,674
2 | 33, 102, 674 |
3 | 33, 51, 337 |
11, 17, 337 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 337 = 378114
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 33,102,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,102,674) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(33,102,674) x common factors =1 x 6 = 6
LCM(33,102,674) = ( 33 × 102 × 674 ) / 6
LCM(33,102,674) = 2268684 / 6
LCM(33,102,674) = 378114
Lets's calculate GCF of 256,839,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378114/1
Therefore the LCM of Fractions 33/256,102/839,674/708 is 378114
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 256,839,708 . The biggest common factor number is the GCF number.
So the greatest common factor 256,839,708 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 33/256, 102/839, 674/708?
Answer: LCM of Numerators as per given numbers 33/256, 102/839, 674/708 is
LCM of Numerators i.e. for 33,102,674 is 378114
GCF of denominators i.e. for 256,839,708 is 1.
Thus, LCM of Fractions is 378114.Finally, LCM of Fractions for 33/256, 102/839, 674/708 is 378114.