Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 567/77, 9488/511 quickly i.e. 768528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 567/77, 9488/511 is 768528.
LCM(567/77, 9488/511) = 768528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 567/77,9488/511
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 567,9488
Least Common Multiple of Numerators i.e. LCM of 567,9488 is 5379696.
GCF of Denominators means GCF of 77,511 as per the given fractions.
GCF of 77,511 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 567,9488
Given numbers has no common factors except 1. So, there LCM is their product i.e 5379696
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 567,9488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,9488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,9488) x common factors =1 x 1 = 1
LCM(567,9488) = ( 567 × 9488 ) / 1
LCM(567,9488) = 5379696 / 1
LCM(567,9488) = 5379696
Lets's calculate GCF of 77,511
7 | 77, 511 |
11, 73 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5379696/7
Therefore the LCM of Fractions 567/77,9488/511 is 768528
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 77,511 . The biggest common factor number is the GCF number.
So the greatest common factor 77,511 is 7.
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 567/77, 9488/511?
Answer: LCM of Numerators as per given numbers 567/77, 9488/511 is
LCM of Numerators i.e. for 567,9488 is 5379696
GCF of denominators i.e. for 77,511 is 7.
Thus, LCM of Fractions is 768528.Finally, LCM of Fractions for 567/77, 9488/511 is 768528.