Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 410/192, 397/946 quickly i.e. 81385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 410/192, 397/946 is 81385.
LCM(410/192, 397/946) = 81385
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 410/192,397/946
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 410,397
Least Common Multiple of Numerators i.e. LCM of 410,397 is 162770.
GCF of Denominators means GCF of 192,946 as per the given fractions.
GCF of 192,946 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 410,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 162770
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 410,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,397) x common factors =1 x 1 = 1
LCM(410,397) = ( 410 × 397 ) / 1
LCM(410,397) = 162770 / 1
LCM(410,397) = 162770
Lets's calculate GCF of 192,946
2 | 192, 946 |
96, 473 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162770/2
Therefore the LCM of Fractions 410/192,397/946 is 81385
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
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 192,946 . The biggest common factor number is the GCF number.
So the greatest common factor 192,946 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 410/192, 397/946?
Answer: LCM of Numerators as per given numbers 410/192, 397/946 is
LCM of Numerators i.e. for 410,397 is 162770
GCF of denominators i.e. for 192,946 is 2.
Thus, LCM of Fractions is 81385.Finally, LCM of Fractions for 410/192, 397/946 is 81385.