Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/749, 34/268, 551/975 quickly i.e. 1217710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/749, 34/268, 551/975 is 1217710.
LCM(65/749, 34/268, 551/975) = 1217710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/749,34/268,551/975
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 65,34,551
Least Common Multiple of Numerators i.e. LCM of 65,34,551 is 1217710.
GCF of Denominators means GCF of 749,268,975 as per the given fractions.
GCF of 749,268,975 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,34,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 1217710
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 65,34,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,34,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,34,551) x common factors =1 x 1 = 1
LCM(65,34,551) = ( 65 × 34 × 551 ) / 1
LCM(65,34,551) = 1217710 / 1
LCM(65,34,551) = 1217710
Lets's calculate GCF of 749,268,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1217710/1
Therefore the LCM of Fractions 65/749,34/268,551/975 is 1217710
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 749,268,975 . The biggest common factor number is the GCF number.
So the greatest common factor 749,268,975 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 65/749, 34/268, 551/975?
Answer: LCM of Numerators as per given numbers 65/749, 34/268, 551/975 is
LCM of Numerators i.e. for 65,34,551 is 1217710
GCF of denominators i.e. for 749,268,975 is 1.
Thus, LCM of Fractions is 1217710.Finally, LCM of Fractions for 65/749, 34/268, 551/975 is 1217710.