Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/14, 605/96, 197/162 quickly i.e. 5482510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/14, 605/96, 197/162 is 5482510.
LCM(92/14, 605/96, 197/162) = 5482510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/14,605/96,197/162
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 92,605,197
Least Common Multiple of Numerators i.e. LCM of 92,605,197 is 10965020.
GCF of Denominators means GCF of 14,96,162 as per the given fractions.
GCF of 14,96,162 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,605,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 10965020
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 92,605,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,605,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,605,197) x common factors =1 x 1 = 1
LCM(92,605,197) = ( 92 × 605 × 197 ) / 1
LCM(92,605,197) = 10965020 / 1
LCM(92,605,197) = 10965020
Lets's calculate GCF of 14,96,162
2 | 14, 96, 162 |
7, 48, 81 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10965020/2
Therefore the LCM of Fractions 92/14,605/96,197/162 is 5482510
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 14,96,162 . The biggest common factor number is the GCF number.
So the greatest common factor 14,96,162 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 92/14, 605/96, 197/162?
Answer: LCM of Numerators as per given numbers 92/14, 605/96, 197/162 is
LCM of Numerators i.e. for 92,605,197 is 10965020
GCF of denominators i.e. for 14,96,162 is 2.
Thus, LCM of Fractions is 5482510.Finally, LCM of Fractions for 92/14, 605/96, 197/162 is 5482510.