Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 600/76, 792/30, 373/826 quickly i.e. 3692700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 600/76, 792/30, 373/826 is 3692700.
LCM(600/76, 792/30, 373/826) = 3692700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 600/76,792/30,373/826
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 600,792,373
Least Common Multiple of Numerators i.e. LCM of 600,792,373 is 7385400.
GCF of Denominators means GCF of 76,30,826 as per the given fractions.
GCF of 76,30,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 600,792,373
2 | 600, 792, 373 |
2 | 300, 396, 373 |
2 | 150, 198, 373 |
3 | 75, 99, 373 |
25, 33, 373 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 33 x 373 = 7385400
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 600,792,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,792,373) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(600,792,373) x common factors =1 x 24 = 24
LCM(600,792,373) = ( 600 × 792 × 373 ) / 24
LCM(600,792,373) = 177249600 / 24
LCM(600,792,373) = 7385400
Lets's calculate GCF of 76,30,826
2 | 76, 30, 826 |
38, 15, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7385400/2
Therefore the LCM of Fractions 600/76,792/30,373/826 is 3692700
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 76,30,826 . The biggest common factor number is the GCF number.
So the greatest common factor 76,30,826 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 600/76, 792/30, 373/826?
Answer: LCM of Numerators as per given numbers 600/76, 792/30, 373/826 is
LCM of Numerators i.e. for 600,792,373 is 7385400
GCF of denominators i.e. for 76,30,826 is 2.
Thus, LCM of Fractions is 3692700.Finally, LCM of Fractions for 600/76, 792/30, 373/826 is 3692700.