Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/127, 98/648, 67/410 quickly i.e. 32830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/127, 98/648, 67/410 is 32830.
LCM(5/127, 98/648, 67/410) = 32830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/127,98/648,67/410
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 5,98,67
Least Common Multiple of Numerators i.e. LCM of 5,98,67 is 32830.
GCF of Denominators means GCF of 127,648,410 as per the given fractions.
GCF of 127,648,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,98,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 32830
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 5,98,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,98,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,98,67) x common factors =1 x 1 = 1
LCM(5,98,67) = ( 5 × 98 × 67 ) / 1
LCM(5,98,67) = 32830 / 1
LCM(5,98,67) = 32830
Lets's calculate GCF of 127,648,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32830/1
Therefore the LCM of Fractions 5/127,98/648,67/410 is 32830
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 127,648,410 . The biggest common factor number is the GCF number.
So the greatest common factor 127,648,410 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 5/127, 98/648, 67/410?
Answer: LCM of Numerators as per given numbers 5/127, 98/648, 67/410 is
LCM of Numerators i.e. for 5,98,67 is 32830
GCF of denominators i.e. for 127,648,410 is 1.
Thus, LCM of Fractions is 32830.Finally, LCM of Fractions for 5/127, 98/648, 67/410 is 32830.