Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2156/370, 6595/9430 quickly i.e. 1421882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2156/370, 6595/9430 is 1421882.
LCM(2156/370, 6595/9430) = 1421882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2156/370,6595/9430
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 2156,6595
Least Common Multiple of Numerators i.e. LCM of 2156,6595 is 14218820.
GCF of Denominators means GCF of 370,9430 as per the given fractions.
GCF of 370,9430 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2156,6595
Given numbers has no common factors except 1. So, there LCM is their product i.e 14218820
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 2156,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2156,6595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2156,6595) x common factors =1 x 1 = 1
LCM(2156,6595) = ( 2156 × 6595 ) / 1
LCM(2156,6595) = 14218820 / 1
LCM(2156,6595) = 14218820
Lets's calculate GCF of 370,9430
2 | 370, 9430 |
5 | 185, 4715 |
37, 943 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14218820/10
Therefore the LCM of Fractions 2156/370,6595/9430 is 1421882
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 9430
List of positive integer factors of 9430 that divides 9430 without a remainder.
1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Greatest Common Factor
We found the factors 370,9430 . The biggest common factor number is the GCF number.
So the greatest common factor 370,9430 is 10.
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 2156/370, 6595/9430?
Answer: LCM of Numerators as per given numbers 2156/370, 6595/9430 is
LCM of Numerators i.e. for 2156,6595 is 14218820
GCF of denominators i.e. for 370,9430 is 10.
Thus, LCM of Fractions is 1421882.Finally, LCM of Fractions for 2156/370, 6595/9430 is 1421882.