Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 135/26, 653/4847 quickly i.e. 88155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 135/26, 653/4847 is 88155.
LCM(135/26, 653/4847) = 88155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 135/26,653/4847
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 135,653
Least Common Multiple of Numerators i.e. LCM of 135,653 is 88155.
GCF of Denominators means GCF of 26,4847 as per the given fractions.
GCF of 26,4847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 135,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 88155
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 135,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,653) x common factors =1 x 1 = 1
LCM(135,653) = ( 135 × 653 ) / 1
LCM(135,653) = 88155 / 1
LCM(135,653) = 88155
Lets's calculate GCF of 26,4847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88155/1
Therefore the LCM of Fractions 135/26,653/4847 is 88155
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 4847
List of positive integer factors of 4847 that divides 4847 without a remainder.
1,37,131,4847
Greatest Common Factor
We found the factors 26,4847 . The biggest common factor number is the GCF number.
So the greatest common factor 26,4847 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 135/26, 653/4847?
Answer: LCM of Numerators as per given numbers 135/26, 653/4847 is
LCM of Numerators i.e. for 135,653 is 88155
GCF of denominators i.e. for 26,4847 is 1.
Thus, LCM of Fractions is 88155.Finally, LCM of Fractions for 135/26, 653/4847 is 88155.