Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/773, 594/798 quickly i.e. 7722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/773, 594/798 is 7722.
LCM(143/773, 594/798) = 7722
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/773,594/798
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 143,594
Least Common Multiple of Numerators i.e. LCM of 143,594 is 7722.
GCF of Denominators means GCF of 773,798 as per the given fractions.
GCF of 773,798 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,594
11 | 143, 594 |
13, 54 |
∴ So the LCM of the given numbers is 11 x 13 x 54 = 7722
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 143,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,594) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(143,594) x common factors =11 x 1 = 11
LCM(143,594) = ( 143 × 594 ) / 11
LCM(143,594) = 84942 / 11
LCM(143,594) = 7722
Lets's calculate GCF of 773,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7722/1
Therefore the LCM of Fractions 143/773,594/798 is 7722
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 773,798 . The biggest common factor number is the GCF number.
So the greatest common factor 773,798 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 143/773, 594/798?
Answer: LCM of Numerators as per given numbers 143/773, 594/798 is
LCM of Numerators i.e. for 143,594 is 7722
GCF of denominators i.e. for 773,798 is 1.
Thus, LCM of Fractions is 7722.Finally, LCM of Fractions for 143/773, 594/798 is 7722.