Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/34, 460/61, 194/849 quickly i.e. 33777340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/34, 460/61, 194/849 is 33777340.
LCM(757/34, 460/61, 194/849) = 33777340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/34,460/61,194/849
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 757,460,194
Least Common Multiple of Numerators i.e. LCM of 757,460,194 is 33777340.
GCF of Denominators means GCF of 34,61,849 as per the given fractions.
GCF of 34,61,849 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,460,194
2 | 757, 460, 194 |
757, 230, 97 |
∴ So the LCM of the given numbers is 2 x 757 x 230 x 97 = 33777340
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 757,460,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,460,194) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(757,460,194) x common factors =1 x 2 = 2
LCM(757,460,194) = ( 757 × 460 × 194 ) / 2
LCM(757,460,194) = 67554680 / 2
LCM(757,460,194) = 33777340
Lets's calculate GCF of 34,61,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33777340/1
Therefore the LCM of Fractions 757/34,460/61,194/849 is 33777340
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 34,61,849 . The biggest common factor number is the GCF number.
So the greatest common factor 34,61,849 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 757/34, 460/61, 194/849?
Answer: LCM of Numerators as per given numbers 757/34, 460/61, 194/849 is
LCM of Numerators i.e. for 757,460,194 is 33777340
GCF of denominators i.e. for 34,61,849 is 1.
Thus, LCM of Fractions is 33777340.Finally, LCM of Fractions for 757/34, 460/61, 194/849 is 33777340.