Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 191/841, 4155/551 quickly i.e. 793605/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 191/841, 4155/551 is 793605/29.
LCM(191/841, 4155/551) = 793605/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 191/841,4155/551
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 191,4155
Least Common Multiple of Numerators i.e. LCM of 191,4155 is 793605.
GCF of Denominators means GCF of 841,551 as per the given fractions.
GCF of 841,551 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 191,4155
Given numbers has no common factors except 1. So, there LCM is their product i.e 793605
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 191,4155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,4155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,4155) x common factors =1 x 1 = 1
LCM(191,4155) = ( 191 × 4155 ) / 1
LCM(191,4155) = 793605 / 1
LCM(191,4155) = 793605
Lets's calculate GCF of 841,551
29 | 841, 551 |
29, 19 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 793605/29
Therefore the LCM of Fractions 191/841,4155/551 is 793605/29
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Greatest Common Factor
We found the factors 841,551 . The biggest common factor number is the GCF number.
So the greatest common factor 841,551 is 29.
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 191/841, 4155/551?
Answer: LCM of Numerators as per given numbers 191/841, 4155/551 is
LCM of Numerators i.e. for 191,4155 is 793605
GCF of denominators i.e. for 841,551 is 29.
Thus, LCM of Fractions is 793605/29.Finally, LCM of Fractions for 191/841, 4155/551 is 793605/29.