Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/10, 319/1674 quickly i.e. 263813/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/10, 319/1674 is 263813/2.
LCM(827/10, 319/1674) = 263813/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/10,319/1674
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 827,319
Least Common Multiple of Numerators i.e. LCM of 827,319 is 263813.
GCF of Denominators means GCF of 10,1674 as per the given fractions.
GCF of 10,1674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 263813
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 827,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,319) x common factors =1 x 1 = 1
LCM(827,319) = ( 827 × 319 ) / 1
LCM(827,319) = 263813 / 1
LCM(827,319) = 263813
Lets's calculate GCF of 10,1674
2 | 10, 1674 |
5, 837 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263813/2
Therefore the LCM of Fractions 827/10,319/1674 is 263813/2
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 1674
List of positive integer factors of 1674 that divides 1674 without a remainder.
1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 10,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 10,1674 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 827/10, 319/1674?
Answer: LCM of Numerators as per given numbers 827/10, 319/1674 is
LCM of Numerators i.e. for 827,319 is 263813
GCF of denominators i.e. for 10,1674 is 2.
Thus, LCM of Fractions is 263813/2.Finally, LCM of Fractions for 827/10, 319/1674 is 263813/2.