Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/54, 836/51, 524/348 quickly i.e. 2518868/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/54, 836/51, 524/348 is 2518868/3.
LCM(46/54, 836/51, 524/348) = 2518868/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/54,836/51,524/348
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 46,836,524
Least Common Multiple of Numerators i.e. LCM of 46,836,524 is 2518868.
GCF of Denominators means GCF of 54,51,348 as per the given fractions.
GCF of 54,51,348 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,836,524
2 | 46, 836, 524 |
2 | 23, 418, 262 |
23, 209, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 209 x 131 = 2518868
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 46,836,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,836,524) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(46,836,524) x common factors =2 x 4 = 8
LCM(46,836,524) = ( 46 × 836 × 524 ) / 8
LCM(46,836,524) = 20150944 / 8
LCM(46,836,524) = 2518868
Lets's calculate GCF of 54,51,348
3 | 54, 51, 348 |
18, 17, 116 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2518868/3
Therefore the LCM of Fractions 46/54,836/51,524/348 is 2518868/3
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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 54,51,348 . The biggest common factor number is the GCF number.
So the greatest common factor 54,51,348 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 46/54, 836/51, 524/348?
Answer: LCM of Numerators as per given numbers 46/54, 836/51, 524/348 is
LCM of Numerators i.e. for 46,836,524 is 2518868
GCF of denominators i.e. for 54,51,348 is 3.
Thus, LCM of Fractions is 2518868/3.Finally, LCM of Fractions for 46/54, 836/51, 524/348 is 2518868/3.