Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/74, 168/51, 228/600 quickly i.e. 92568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/74, 168/51, 228/600 is 92568.
LCM(58/74, 168/51, 228/600) = 92568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/74,168/51,228/600
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 58,168,228
Least Common Multiple of Numerators i.e. LCM of 58,168,228 is 92568.
GCF of Denominators means GCF of 74,51,600 as per the given fractions.
GCF of 74,51,600 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,168,228
2 | 58, 168, 228 |
2 | 29, 84, 114 |
3 | 29, 42, 57 |
29, 14, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 14 x 19 = 92568
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 58,168,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,168,228) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(58,168,228) x common factors =2 x 12 = 24
LCM(58,168,228) = ( 58 × 168 × 228 ) / 24
LCM(58,168,228) = 2221632 / 24
LCM(58,168,228) = 92568
Lets's calculate GCF of 74,51,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92568/1
Therefore the LCM of Fractions 58/74,168/51,228/600 is 92568
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 74,51,600 . The biggest common factor number is the GCF number.
So the greatest common factor 74,51,600 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 58/74, 168/51, 228/600?
Answer: LCM of Numerators as per given numbers 58/74, 168/51, 228/600 is
LCM of Numerators i.e. for 58,168,228 is 92568
GCF of denominators i.e. for 74,51,600 is 1.
Thus, LCM of Fractions is 92568.Finally, LCM of Fractions for 58/74, 168/51, 228/600 is 92568.