Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/66, 351/8954 quickly i.e. 193401/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/66, 351/8954 is 193401/22.
LCM(551/66, 351/8954) = 193401/22
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/66,351/8954
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 551,351
Least Common Multiple of Numerators i.e. LCM of 551,351 is 193401.
GCF of Denominators means GCF of 66,8954 as per the given fractions.
GCF of 66,8954 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,351
Given numbers has no common factors except 1. So, there LCM is their product i.e 193401
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 551,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,351) x common factors =1 x 1 = 1
LCM(551,351) = ( 551 × 351 ) / 1
LCM(551,351) = 193401 / 1
LCM(551,351) = 193401
Lets's calculate GCF of 66,8954
2 | 66, 8954 |
11 | 33, 4477 |
3, 407 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193401/22
Therefore the LCM of Fractions 551/66,351/8954 is 193401/22
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 8954
List of positive integer factors of 8954 that divides 8954 without a remainder.
1,2,11,22,37,74,121,242,407,814,4477,8954
Greatest Common Factor
We found the factors 66,8954 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8954 is 22.
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 551/66, 351/8954?
Answer: LCM of Numerators as per given numbers 551/66, 351/8954 is
LCM of Numerators i.e. for 551,351 is 193401
GCF of denominators i.e. for 66,8954 is 22.
Thus, LCM of Fractions is 193401/22.Finally, LCM of Fractions for 551/66, 351/8954 is 193401/22.