Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/146, 66/900, 583/748 quickly i.e. 138171 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/146, 66/900, 583/748 is 138171.
LCM(79/146, 66/900, 583/748) = 138171
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/146,66/900,583/748
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 79,66,583
Least Common Multiple of Numerators i.e. LCM of 79,66,583 is 276342.
GCF of Denominators means GCF of 146,900,748 as per the given fractions.
GCF of 146,900,748 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,66,583
11 | 79, 66, 583 |
79, 6, 53 |
∴ So the LCM of the given numbers is 11 x 79 x 6 x 53 = 276342
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 79,66,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,66,583) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(79,66,583) x common factors =1 x 11 = 11
LCM(79,66,583) = ( 79 × 66 × 583 ) / 11
LCM(79,66,583) = 3039762 / 11
LCM(79,66,583) = 276342
Lets's calculate GCF of 146,900,748
2 | 146, 900, 748 |
73, 450, 374 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276342/2
Therefore the LCM of Fractions 79/146,66/900,583/748 is 138171
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 146,900,748 . The biggest common factor number is the GCF number.
So the greatest common factor 146,900,748 is 2.
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 79/146, 66/900, 583/748?
Answer: LCM of Numerators as per given numbers 79/146, 66/900, 583/748 is
LCM of Numerators i.e. for 79,66,583 is 276342
GCF of denominators i.e. for 146,900,748 is 2.
Thus, LCM of Fractions is 138171.Finally, LCM of Fractions for 79/146, 66/900, 583/748 is 138171.