Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/58, 793/4092 quickly i.e. 274378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/58, 793/4092 is 274378.
LCM(692/58, 793/4092) = 274378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/58,793/4092
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 692,793
Least Common Multiple of Numerators i.e. LCM of 692,793 is 548756.
GCF of Denominators means GCF of 58,4092 as per the given fractions.
GCF of 58,4092 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 548756
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 692,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,793) x common factors =1 x 1 = 1
LCM(692,793) = ( 692 × 793 ) / 1
LCM(692,793) = 548756 / 1
LCM(692,793) = 548756
Lets's calculate GCF of 58,4092
2 | 58, 4092 |
29, 2046 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548756/2
Therefore the LCM of Fractions 692/58,793/4092 is 274378
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 4092
List of positive integer factors of 4092 that divides 4092 without a remainder.
1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 58,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4092 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 692/58, 793/4092?
Answer: LCM of Numerators as per given numbers 692/58, 793/4092 is
LCM of Numerators i.e. for 692,793 is 548756
GCF of denominators i.e. for 58,4092 is 2.
Thus, LCM of Fractions is 274378.Finally, LCM of Fractions for 692/58, 793/4092 is 274378.