Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/88, 34/512, 13/945 quickly i.e. 442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/88, 34/512, 13/945 is 442.
LCM(1/88, 34/512, 13/945) = 442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/88,34/512,13/945
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 1,34,13
Least Common Multiple of Numerators i.e. LCM of 1,34,13 is 442.
GCF of Denominators means GCF of 88,512,945 as per the given fractions.
GCF of 88,512,945 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,34,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 442
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 1,34,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,34,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,34,13) x common factors =1 x 1 = 1
LCM(1,34,13) = ( 1 × 34 × 13 ) / 1
LCM(1,34,13) = 442 / 1
LCM(1,34,13) = 442
Lets's calculate GCF of 88,512,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442/1
Therefore the LCM of Fractions 1/88,34/512,13/945 is 442
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 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 88,512,945 . The biggest common factor number is the GCF number.
So the greatest common factor 88,512,945 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 1/88, 34/512, 13/945?
Answer: LCM of Numerators as per given numbers 1/88, 34/512, 13/945 is
LCM of Numerators i.e. for 1,34,13 is 442
GCF of denominators i.e. for 88,512,945 is 1.
Thus, LCM of Fractions is 442.Finally, LCM of Fractions for 1/88, 34/512, 13/945 is 442.