Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/408, 81/873, 781/890 quickly i.e. 5756751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/408, 81/873, 781/890 is 5756751.
LCM(91/408, 81/873, 781/890) = 5756751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/408,81/873,781/890
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 91,81,781
Least Common Multiple of Numerators i.e. LCM of 91,81,781 is 5756751.
GCF of Denominators means GCF of 408,873,890 as per the given fractions.
GCF of 408,873,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,81,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 5756751
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 91,81,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,81,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,81,781) x common factors =1 x 1 = 1
LCM(91,81,781) = ( 91 × 81 × 781 ) / 1
LCM(91,81,781) = 5756751 / 1
LCM(91,81,781) = 5756751
Lets's calculate GCF of 408,873,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5756751/1
Therefore the LCM of Fractions 91/408,81/873,781/890 is 5756751
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 408,873,890 . The biggest common factor number is the GCF number.
So the greatest common factor 408,873,890 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 91/408, 81/873, 781/890?
Answer: LCM of Numerators as per given numbers 91/408, 81/873, 781/890 is
LCM of Numerators i.e. for 91,81,781 is 5756751
GCF of denominators i.e. for 408,873,890 is 1.
Thus, LCM of Fractions is 5756751.Finally, LCM of Fractions for 91/408, 81/873, 781/890 is 5756751.