Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/550, 29/340, 488/334 quickly i.e. 643916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/550, 29/340, 488/334 is 643916.
LCM(91/550, 29/340, 488/334) = 643916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/550,29/340,488/334
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 91,29,488
Least Common Multiple of Numerators i.e. LCM of 91,29,488 is 1287832.
GCF of Denominators means GCF of 550,340,334 as per the given fractions.
GCF of 550,340,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,29,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287832
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 91,29,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,29,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,29,488) x common factors =1 x 1 = 1
LCM(91,29,488) = ( 91 × 29 × 488 ) / 1
LCM(91,29,488) = 1287832 / 1
LCM(91,29,488) = 1287832
Lets's calculate GCF of 550,340,334
2 | 550, 340, 334 |
275, 170, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1287832/2
Therefore the LCM of Fractions 91/550,29/340,488/334 is 643916
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 550,340,334 . The biggest common factor number is the GCF number.
So the greatest common factor 550,340,334 is 2.
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 91/550, 29/340, 488/334?
Answer: LCM of Numerators as per given numbers 91/550, 29/340, 488/334 is
LCM of Numerators i.e. for 91,29,488 is 1287832
GCF of denominators i.e. for 550,340,334 is 2.
Thus, LCM of Fractions is 643916.Finally, LCM of Fractions for 91/550, 29/340, 488/334 is 643916.