Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/500, 67/902, 844/493 quickly i.e. 1017864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/500, 67/902, 844/493 is 1017864.
LCM(72/500, 67/902, 844/493) = 1017864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/500,67/902,844/493
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 72,67,844
Least Common Multiple of Numerators i.e. LCM of 72,67,844 is 1017864.
GCF of Denominators means GCF of 500,902,493 as per the given fractions.
GCF of 500,902,493 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,67,844
2 | 72, 67, 844 |
2 | 36, 67, 422 |
18, 67, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 18 x 67 x 211 = 1017864
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 72,67,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,67,844) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(72,67,844) x common factors =1 x 4 = 4
LCM(72,67,844) = ( 72 × 67 × 844 ) / 4
LCM(72,67,844) = 4071456 / 4
LCM(72,67,844) = 1017864
Lets's calculate GCF of 500,902,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1017864/1
Therefore the LCM of Fractions 72/500,67/902,844/493 is 1017864
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 500,902,493 . The biggest common factor number is the GCF number.
So the greatest common factor 500,902,493 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 72/500, 67/902, 844/493?
Answer: LCM of Numerators as per given numbers 72/500, 67/902, 844/493 is
LCM of Numerators i.e. for 72,67,844 is 1017864
GCF of denominators i.e. for 500,902,493 is 1.
Thus, LCM of Fractions is 1017864.Finally, LCM of Fractions for 72/500, 67/902, 844/493 is 1017864.