Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 758/168, 661/474, 196/406 quickly i.e. 24550862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 758/168, 661/474, 196/406 is 24550862.
LCM(758/168, 661/474, 196/406) = 24550862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 758/168,661/474,196/406
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 758,661,196
Least Common Multiple of Numerators i.e. LCM of 758,661,196 is 49101724.
GCF of Denominators means GCF of 168,474,406 as per the given fractions.
GCF of 168,474,406 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 758,661,196
2 | 758, 661, 196 |
379, 661, 98 |
∴ So the LCM of the given numbers is 2 x 379 x 661 x 98 = 49101724
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 758,661,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,661,196) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(758,661,196) x common factors =1 x 2 = 2
LCM(758,661,196) = ( 758 × 661 × 196 ) / 2
LCM(758,661,196) = 98203448 / 2
LCM(758,661,196) = 49101724
Lets's calculate GCF of 168,474,406
2 | 168, 474, 406 |
84, 237, 203 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49101724/2
Therefore the LCM of Fractions 758/168,661/474,196/406 is 24550862
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 168,474,406 . The biggest common factor number is the GCF number.
So the greatest common factor 168,474,406 is 2.
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 758/168, 661/474, 196/406?
Answer: LCM of Numerators as per given numbers 758/168, 661/474, 196/406 is
LCM of Numerators i.e. for 758,661,196 is 49101724
GCF of denominators i.e. for 168,474,406 is 2.
Thus, LCM of Fractions is 24550862.Finally, LCM of Fractions for 758/168, 661/474, 196/406 is 24550862.