Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/753, 88/145, 281/357 quickly i.e. 321464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/753, 88/145, 281/357 is 321464.
LCM(13/753, 88/145, 281/357) = 321464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/753,88/145,281/357
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 13,88,281
Least Common Multiple of Numerators i.e. LCM of 13,88,281 is 321464.
GCF of Denominators means GCF of 753,145,357 as per the given fractions.
GCF of 753,145,357 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,88,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 321464
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 13,88,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,88,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,88,281) x common factors =1 x 1 = 1
LCM(13,88,281) = ( 13 × 88 × 281 ) / 1
LCM(13,88,281) = 321464 / 1
LCM(13,88,281) = 321464
Lets's calculate GCF of 753,145,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321464/1
Therefore the LCM of Fractions 13/753,88/145,281/357 is 321464
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 753,145,357 . The biggest common factor number is the GCF number.
So the greatest common factor 753,145,357 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 13/753, 88/145, 281/357?
Answer: LCM of Numerators as per given numbers 13/753, 88/145, 281/357 is
LCM of Numerators i.e. for 13,88,281 is 321464
GCF of denominators i.e. for 753,145,357 is 1.
Thus, LCM of Fractions is 321464.Finally, LCM of Fractions for 13/753, 88/145, 281/357 is 321464.