Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/477, 92/593, 161/890 quickly i.e. 4508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/477, 92/593, 161/890 is 4508.
LCM(98/477, 92/593, 161/890) = 4508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/477,92/593,161/890
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 98,92,161
Least Common Multiple of Numerators i.e. LCM of 98,92,161 is 4508.
GCF of Denominators means GCF of 477,593,890 as per the given fractions.
GCF of 477,593,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,92,161
2 | 98, 92, 161 |
7 | 49, 46, 161 |
23 | 7, 46, 23 |
7, 2, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 23 x 7 x 2 x 1 = 4508
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 98,92,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,92,161) = 1
common factors(in case of two or more numbers have common factors) = 322
GCF(98,92,161) x common factors =1 x 322 = 322
LCM(98,92,161) = ( 98 × 92 × 161 ) / 322
LCM(98,92,161) = 1451576 / 322
LCM(98,92,161) = 4508
Lets's calculate GCF of 477,593,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4508/1
Therefore the LCM of Fractions 98/477,92/593,161/890 is 4508
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
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 477,593,890 . The biggest common factor number is the GCF number.
So the greatest common factor 477,593,890 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 98/477, 92/593, 161/890?
Answer: LCM of Numerators as per given numbers 98/477, 92/593, 161/890 is
LCM of Numerators i.e. for 98,92,161 is 4508
GCF of denominators i.e. for 477,593,890 is 1.
Thus, LCM of Fractions is 4508.Finally, LCM of Fractions for 98/477, 92/593, 161/890 is 4508.