Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/46, 17/94, 661/192 quickly i.e. 202266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/46, 17/94, 661/192 is 202266.
LCM(36/46, 17/94, 661/192) = 202266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/46,17/94,661/192
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 36,17,661
Least Common Multiple of Numerators i.e. LCM of 36,17,661 is 404532.
GCF of Denominators means GCF of 46,94,192 as per the given fractions.
GCF of 46,94,192 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,17,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 404532
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 36,17,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,17,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,17,661) x common factors =1 x 1 = 1
LCM(36,17,661) = ( 36 × 17 × 661 ) / 1
LCM(36,17,661) = 404532 / 1
LCM(36,17,661) = 404532
Lets's calculate GCF of 46,94,192
2 | 46, 94, 192 |
23, 47, 96 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 404532/2
Therefore the LCM of Fractions 36/46,17/94,661/192 is 202266
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 46,94,192 . The biggest common factor number is the GCF number.
So the greatest common factor 46,94,192 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 36/46, 17/94, 661/192?
Answer: LCM of Numerators as per given numbers 36/46, 17/94, 661/192 is
LCM of Numerators i.e. for 36,17,661 is 404532
GCF of denominators i.e. for 46,94,192 is 2.
Thus, LCM of Fractions is 202266.Finally, LCM of Fractions for 36/46, 17/94, 661/192 is 202266.