Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/25, 526/4482 quickly i.e. 181996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/25, 526/4482 is 181996.
LCM(692/25, 526/4482) = 181996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/25,526/4482
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 692,526
Least Common Multiple of Numerators i.e. LCM of 692,526 is 181996.
GCF of Denominators means GCF of 25,4482 as per the given fractions.
GCF of 25,4482 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,526
2 | 692, 526 |
346, 263 |
∴ So the LCM of the given numbers is 2 x 346 x 263 = 181996
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 692,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,526) x common factors =2 x 1 = 2
LCM(692,526) = ( 692 × 526 ) / 2
LCM(692,526) = 363992 / 2
LCM(692,526) = 181996
Lets's calculate GCF of 25,4482
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181996/1
Therefore the LCM of Fractions 692/25,526/4482 is 181996
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 4482
List of positive integer factors of 4482 that divides 4482 without a remainder.
1,2,3,6,9,18,27,54,83,166,249,498,747,1494,2241,4482
Greatest Common Factor
We found the factors 25,4482 . The biggest common factor number is the GCF number.
So the greatest common factor 25,4482 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 692/25, 526/4482?
Answer: LCM of Numerators as per given numbers 692/25, 526/4482 is
LCM of Numerators i.e. for 692,526 is 181996
GCF of denominators i.e. for 25,4482 is 1.
Thus, LCM of Fractions is 181996.Finally, LCM of Fractions for 692/25, 526/4482 is 181996.