Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 775/121, 652/286, 722/534 quickly i.e. 182413300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 775/121, 652/286, 722/534 is 182413300.
LCM(775/121, 652/286, 722/534) = 182413300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 775/121,652/286,722/534
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 775,652,722
Least Common Multiple of Numerators i.e. LCM of 775,652,722 is 182413300.
GCF of Denominators means GCF of 121,286,534 as per the given fractions.
GCF of 121,286,534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 775,652,722
2 | 775, 652, 722 |
775, 326, 361 |
∴ So the LCM of the given numbers is 2 x 775 x 326 x 361 = 182413300
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 775,652,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,652,722) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(775,652,722) x common factors =1 x 2 = 2
LCM(775,652,722) = ( 775 × 652 × 722 ) / 2
LCM(775,652,722) = 364826600 / 2
LCM(775,652,722) = 182413300
Lets's calculate GCF of 121,286,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182413300/1
Therefore the LCM of Fractions 775/121,652/286,722/534 is 182413300
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 121,286,534 . The biggest common factor number is the GCF number.
So the greatest common factor 121,286,534 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 775/121, 652/286, 722/534?
Answer: LCM of Numerators as per given numbers 775/121, 652/286, 722/534 is
LCM of Numerators i.e. for 775,652,722 is 182413300
GCF of denominators i.e. for 121,286,534 is 1.
Thus, LCM of Fractions is 182413300.Finally, LCM of Fractions for 775/121, 652/286, 722/534 is 182413300.