Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/91, 9580/182 quickly i.e. 1590280/91 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/91, 9580/182 is 1590280/91.
LCM(664/91, 9580/182) = 1590280/91
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/91,9580/182
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 664,9580
Least Common Multiple of Numerators i.e. LCM of 664,9580 is 1590280.
GCF of Denominators means GCF of 91,182 as per the given fractions.
GCF of 91,182 is 91 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,9580
2 | 664, 9580 |
2 | 332, 4790 |
166, 2395 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 2395 = 1590280
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 664,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,9580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(664,9580) x common factors =4 x 1 = 4
LCM(664,9580) = ( 664 × 9580 ) / 4
LCM(664,9580) = 6361120 / 4
LCM(664,9580) = 1590280
Lets's calculate GCF of 91,182
7 | 91, 182 |
13 | 13, 26 |
1, 2 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1590280/91
Therefore the LCM of Fractions 664/91,9580/182 is 1590280/91
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 91,182 . The biggest common factor number is the GCF number.
So the greatest common factor 91,182 is 91.
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 664/91, 9580/182?
Answer: LCM of Numerators as per given numbers 664/91, 9580/182 is
LCM of Numerators i.e. for 664,9580 is 1590280
GCF of denominators i.e. for 91,182 is 91.
Thus, LCM of Fractions is 1590280/91.Finally, LCM of Fractions for 664/91, 9580/182 is 1590280/91.