Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/88, 8/19, 70/22, 47/269 quickly i.e. 118440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/88, 8/19, 70/22, 47/269 is 118440.
LCM(9/88, 8/19, 70/22, 47/269) = 118440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/88,8/19,70/22,47/269
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 9,8,70,47
Least Common Multiple of Numerators i.e. LCM of 9,8,70,47 is 118440.
GCF of Denominators means GCF of 88,19,22,269 as per the given fractions.
GCF of 88,19,22,269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,8,70,47
2 | 9, 8, 70, 47 |
9, 4, 35, 47 |
∴ So the LCM of the given numbers is 2 x 9 x 4 x 35 x 47 = 118440
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 9,8,70,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,8,70,47) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(9,8,70,47) x common factors =1 x 2 = 2
LCM(9,8,70,47) = ( 9 × 8 × 70 × 47 ) / 2
LCM(9,8,70,47) = 236880 / 2
LCM(9,8,70,47) = 118440
Lets's calculate GCF of 88,19,22,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/1
Therefore the LCM of Fractions 9/88,8/19,70/22,47/269 is 118440
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 88,19,22,269 . The biggest common factor number is the GCF number.
So the greatest common factor 88,19,22,269 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 9/88, 8/19, 70/22, 47/269?
Answer: LCM of Numerators as per given numbers 9/88, 8/19, 70/22, 47/269 is
LCM of Numerators i.e. for 9,8,70,47 is 118440
GCF of denominators i.e. for 88,19,22,269 is 1.
Thus, LCM of Fractions is 118440.Finally, LCM of Fractions for 9/88, 8/19, 70/22, 47/269 is 118440.