Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 340/16, 876/7905 quickly i.e. 74460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 340/16, 876/7905 is 74460.
LCM(340/16, 876/7905) = 74460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 340/16,876/7905
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 340,876
Least Common Multiple of Numerators i.e. LCM of 340,876 is 74460.
GCF of Denominators means GCF of 16,7905 as per the given fractions.
GCF of 16,7905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 340,876
2 | 340, 876 |
2 | 170, 438 |
85, 219 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 219 = 74460
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 340,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,876) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(340,876) x common factors =4 x 1 = 4
LCM(340,876) = ( 340 × 876 ) / 4
LCM(340,876) = 297840 / 4
LCM(340,876) = 74460
Lets's calculate GCF of 16,7905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74460/1
Therefore the LCM of Fractions 340/16,876/7905 is 74460
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 7905
List of positive integer factors of 7905 that divides 7905 without a remainder.
1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 16,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 16,7905 is 1.
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 340/16, 876/7905?
Answer: LCM of Numerators as per given numbers 340/16, 876/7905 is
LCM of Numerators i.e. for 340,876 is 74460
GCF of denominators i.e. for 16,7905 is 1.
Thus, LCM of Fractions is 74460.Finally, LCM of Fractions for 340/16, 876/7905 is 74460.