Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/50, 13/73, 646/803 quickly i.e. 369512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/50, 13/73, 646/803 is 369512.
LCM(88/50, 13/73, 646/803) = 369512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/50,13/73,646/803
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 88,13,646
Least Common Multiple of Numerators i.e. LCM of 88,13,646 is 369512.
GCF of Denominators means GCF of 50,73,803 as per the given fractions.
GCF of 50,73,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,13,646
2 | 88, 13, 646 |
44, 13, 323 |
∴ So the LCM of the given numbers is 2 x 44 x 13 x 323 = 369512
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 88,13,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,13,646) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,13,646) x common factors =1 x 2 = 2
LCM(88,13,646) = ( 88 × 13 × 646 ) / 2
LCM(88,13,646) = 739024 / 2
LCM(88,13,646) = 369512
Lets's calculate GCF of 50,73,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369512/1
Therefore the LCM of Fractions 88/50,13/73,646/803 is 369512
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 50,73,803 . The biggest common factor number is the GCF number.
So the greatest common factor 50,73,803 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 88/50, 13/73, 646/803?
Answer: LCM of Numerators as per given numbers 88/50, 13/73, 646/803 is
LCM of Numerators i.e. for 88,13,646 is 369512
GCF of denominators i.e. for 50,73,803 is 1.
Thus, LCM of Fractions is 369512.Finally, LCM of Fractions for 88/50, 13/73, 646/803 is 369512.