Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/675, 61/310, 550/330 quickly i.e. 597190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/675, 61/310, 550/330 is 597190.
LCM(89/675, 61/310, 550/330) = 597190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/675,61/310,550/330
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 89,61,550
Least Common Multiple of Numerators i.e. LCM of 89,61,550 is 2985950.
GCF of Denominators means GCF of 675,310,330 as per the given fractions.
GCF of 675,310,330 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,61,550
Given numbers has no common factors except 1. So, there LCM is their product i.e 2985950
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 89,61,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,61,550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,61,550) x common factors =1 x 1 = 1
LCM(89,61,550) = ( 89 × 61 × 550 ) / 1
LCM(89,61,550) = 2985950 / 1
LCM(89,61,550) = 2985950
Lets's calculate GCF of 675,310,330
5 | 675, 310, 330 |
135, 62, 66 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2985950/5
Therefore the LCM of Fractions 89/675,61/310,550/330 is 597190
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 675,310,330 . The biggest common factor number is the GCF number.
So the greatest common factor 675,310,330 is 5.
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 89/675, 61/310, 550/330?
Answer: LCM of Numerators as per given numbers 89/675, 61/310, 550/330 is
LCM of Numerators i.e. for 89,61,550 is 2985950
GCF of denominators i.e. for 675,310,330 is 5.
Thus, LCM of Fractions is 597190.Finally, LCM of Fractions for 89/675, 61/310, 550/330 is 597190.