Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 659/77, 299/66, 848/484 quickly i.e. 167090768/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 659/77, 299/66, 848/484 is 167090768/11.
LCM(659/77, 299/66, 848/484) = 167090768/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 659/77,299/66,848/484
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 659,299,848
Least Common Multiple of Numerators i.e. LCM of 659,299,848 is 167090768.
GCF of Denominators means GCF of 77,66,484 as per the given fractions.
GCF of 77,66,484 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 659,299,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 167090768
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 659,299,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,299,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,299,848) x common factors =1 x 1 = 1
LCM(659,299,848) = ( 659 × 299 × 848 ) / 1
LCM(659,299,848) = 167090768 / 1
LCM(659,299,848) = 167090768
Lets's calculate GCF of 77,66,484
11 | 77, 66, 484 |
7, 6, 44 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167090768/11
Therefore the LCM of Fractions 659/77,299/66,848/484 is 167090768/11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 77,66,484 . The biggest common factor number is the GCF number.
So the greatest common factor 77,66,484 is 11.
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 659/77, 299/66, 848/484?
Answer: LCM of Numerators as per given numbers 659/77, 299/66, 848/484 is
LCM of Numerators i.e. for 659,299,848 is 167090768
GCF of denominators i.e. for 77,66,484 is 11.
Thus, LCM of Fractions is 167090768/11.Finally, LCM of Fractions for 659/77, 299/66, 848/484 is 167090768/11.