Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 156/170, 7831/7844 quickly i.e. 610818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 156/170, 7831/7844 is 610818.
LCM(156/170, 7831/7844) = 610818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 156/170,7831/7844
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 156,7831
Least Common Multiple of Numerators i.e. LCM of 156,7831 is 1221636.
GCF of Denominators means GCF of 170,7844 as per the given fractions.
GCF of 170,7844 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 156,7831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1221636
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 156,7831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,7831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,7831) x common factors =1 x 1 = 1
LCM(156,7831) = ( 156 × 7831 ) / 1
LCM(156,7831) = 1221636 / 1
LCM(156,7831) = 1221636
Lets's calculate GCF of 170,7844
2 | 170, 7844 |
85, 3922 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1221636/2
Therefore the LCM of Fractions 156/170,7831/7844 is 610818
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 7844
List of positive integer factors of 7844 that divides 7844 without a remainder.
1,2,4,37,53,74,106,148,212,1961,3922,7844
Greatest Common Factor
We found the factors 170,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 170,7844 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 156/170, 7831/7844?
Answer: LCM of Numerators as per given numbers 156/170, 7831/7844 is
LCM of Numerators i.e. for 156,7831 is 1221636
GCF of denominators i.e. for 170,7844 is 2.
Thus, LCM of Fractions is 610818.Finally, LCM of Fractions for 156/170, 7831/7844 is 610818.