Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8177/156, 1460/156 quickly i.e. 11938420/156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8177/156, 1460/156 is 11938420/156.
LCM(8177/156, 1460/156) = 11938420/156
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8177/156,1460/156
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 8177,1460
Least Common Multiple of Numerators i.e. LCM of 8177,1460 is 11938420.
GCF of Denominators means GCF of 156,156 as per the given fractions.
GCF of 156,156 is 156 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8177,1460
Given numbers has no common factors except 1. So, there LCM is their product i.e 11938420
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 8177,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8177,1460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8177,1460) x common factors =1 x 1 = 1
LCM(8177,1460) = ( 8177 × 1460 ) / 1
LCM(8177,1460) = 11938420 / 1
LCM(8177,1460) = 11938420
Lets's calculate GCF of 156,156
2 | 156, 156 |
2 | 78, 78 |
3 | 39, 39 |
13 | 13, 13 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11938420/156
Therefore the LCM of Fractions 8177/156,1460/156 is 11938420/156
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 156,156 . The biggest common factor number is the GCF number.
So the greatest common factor 156,156 is 156.
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 8177/156, 1460/156?
Answer: LCM of Numerators as per given numbers 8177/156, 1460/156 is
LCM of Numerators i.e. for 8177,1460 is 11938420
GCF of denominators i.e. for 156,156 is 156.
Thus, LCM of Fractions is 11938420/156.Finally, LCM of Fractions for 8177/156, 1460/156 is 11938420/156.