Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/608, 6881/6669 quickly i.e. 605528/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/608, 6881/6669 is 605528/19.
LCM(88/608, 6881/6669) = 605528/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/608,6881/6669
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 88,6881
Least Common Multiple of Numerators i.e. LCM of 88,6881 is 605528.
GCF of Denominators means GCF of 608,6669 as per the given fractions.
GCF of 608,6669 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,6881
Given numbers has no common factors except 1. So, there LCM is their product i.e 605528
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 88,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,6881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,6881) x common factors =1 x 1 = 1
LCM(88,6881) = ( 88 × 6881 ) / 1
LCM(88,6881) = 605528 / 1
LCM(88,6881) = 605528
Lets's calculate GCF of 608,6669
19 | 608, 6669 |
32, 351 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 605528/19
Therefore the LCM of Fractions 88/608,6881/6669 is 605528/19
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 6669
List of positive integer factors of 6669 that divides 6669 without a remainder.
1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Greatest Common Factor
We found the factors 608,6669 . The biggest common factor number is the GCF number.
So the greatest common factor 608,6669 is 19.
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 88/608, 6881/6669?
Answer: LCM of Numerators as per given numbers 88/608, 6881/6669 is
LCM of Numerators i.e. for 88,6881 is 605528
GCF of denominators i.e. for 608,6669 is 19.
Thus, LCM of Fractions is 605528/19.Finally, LCM of Fractions for 88/608, 6881/6669 is 605528/19.