Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/54, 849/27, 638/256 quickly i.e. 541662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/54, 849/27, 638/256 is 541662.
LCM(174/54, 849/27, 638/256) = 541662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/54,849/27,638/256
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 174,849,638
Least Common Multiple of Numerators i.e. LCM of 174,849,638 is 541662.
GCF of Denominators means GCF of 54,27,256 as per the given fractions.
GCF of 54,27,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,849,638
2 | 174, 849, 638 |
3 | 87, 849, 319 |
29 | 29, 283, 319 |
1, 283, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 283 x 11 = 541662
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 174,849,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,849,638) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(174,849,638) x common factors =1 x 174 = 174
LCM(174,849,638) = ( 174 × 849 × 638 ) / 174
LCM(174,849,638) = 94249188 / 174
LCM(174,849,638) = 541662
Lets's calculate GCF of 54,27,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541662/1
Therefore the LCM of Fractions 174/54,849/27,638/256 is 541662
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
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
Greatest Common Factor
We found the factors 54,27,256 . The biggest common factor number is the GCF number.
So the greatest common factor 54,27,256 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 174/54, 849/27, 638/256?
Answer: LCM of Numerators as per given numbers 174/54, 849/27, 638/256 is
LCM of Numerators i.e. for 174,849,638 is 541662
GCF of denominators i.e. for 54,27,256 is 1.
Thus, LCM of Fractions is 541662.Finally, LCM of Fractions for 174/54, 849/27, 638/256 is 541662.