Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/220, 3425/891 quickly i.e. 1887175/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/220, 3425/891 is 1887175/11.
LCM(551/220, 3425/891) = 1887175/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/220,3425/891
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 551,3425
Least Common Multiple of Numerators i.e. LCM of 551,3425 is 1887175.
GCF of Denominators means GCF of 220,891 as per the given fractions.
GCF of 220,891 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,3425
Given numbers has no common factors except 1. So, there LCM is their product i.e 1887175
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 551,3425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,3425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,3425) x common factors =1 x 1 = 1
LCM(551,3425) = ( 551 × 3425 ) / 1
LCM(551,3425) = 1887175 / 1
LCM(551,3425) = 1887175
Lets's calculate GCF of 220,891
11 | 220, 891 |
20, 81 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1887175/11
Therefore the LCM of Fractions 551/220,3425/891 is 1887175/11
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 220,891 . The biggest common factor number is the GCF number.
So the greatest common factor 220,891 is 11.
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 551/220, 3425/891?
Answer: LCM of Numerators as per given numbers 551/220, 3425/891 is
LCM of Numerators i.e. for 551,3425 is 1887175
GCF of denominators i.e. for 220,891 is 11.
Thus, LCM of Fractions is 1887175/11.Finally, LCM of Fractions for 551/220, 3425/891 is 1887175/11.