Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 563/99, 951/7953 quickly i.e. 535413/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 563/99, 951/7953 is 535413/33.
LCM(563/99, 951/7953) = 535413/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 563/99,951/7953
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 563,951
Least Common Multiple of Numerators i.e. LCM of 563,951 is 535413.
GCF of Denominators means GCF of 99,7953 as per the given fractions.
GCF of 99,7953 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 563,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 535413
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 563,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,951) x common factors =1 x 1 = 1
LCM(563,951) = ( 563 × 951 ) / 1
LCM(563,951) = 535413 / 1
LCM(563,951) = 535413
Lets's calculate GCF of 99,7953
3 | 99, 7953 |
11 | 33, 2651 |
3, 241 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535413/33
Therefore the LCM of Fractions 563/99,951/7953 is 535413/33
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1,3,11,33,241,723,2651,7953
Greatest Common Factor
We found the factors 99,7953 . The biggest common factor number is the GCF number.
So the greatest common factor 99,7953 is 33.
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 563/99, 951/7953?
Answer: LCM of Numerators as per given numbers 563/99, 951/7953 is
LCM of Numerators i.e. for 563,951 is 535413
GCF of denominators i.e. for 99,7953 is 33.
Thus, LCM of Fractions is 535413/33.Finally, LCM of Fractions for 563/99, 951/7953 is 535413/33.