Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/90, 661/77, 325/264 quickly i.e. 118368575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/90, 661/77, 325/264 is 118368575.
LCM(551/90, 661/77, 325/264) = 118368575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/90,661/77,325/264
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 551,661,325
Least Common Multiple of Numerators i.e. LCM of 551,661,325 is 118368575.
GCF of Denominators means GCF of 90,77,264 as per the given fractions.
GCF of 90,77,264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,661,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 118368575
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 551,661,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,661,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,661,325) x common factors =1 x 1 = 1
LCM(551,661,325) = ( 551 × 661 × 325 ) / 1
LCM(551,661,325) = 118368575 / 1
LCM(551,661,325) = 118368575
Lets's calculate GCF of 90,77,264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118368575/1
Therefore the LCM of Fractions 551/90,661/77,325/264 is 118368575
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 90,77,264 . The biggest common factor number is the GCF number.
So the greatest common factor 90,77,264 is 1.
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 551/90, 661/77, 325/264?
Answer: LCM of Numerators as per given numbers 551/90, 661/77, 325/264 is
LCM of Numerators i.e. for 551,661,325 is 118368575
GCF of denominators i.e. for 90,77,264 is 1.
Thus, LCM of Fractions is 118368575.Finally, LCM of Fractions for 551/90, 661/77, 325/264 is 118368575.