Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/262, 8799/1674 quickly i.e. 43995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/262, 8799/1674 is 43995.
LCM(10/262, 8799/1674) = 43995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/262,8799/1674
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 10,8799
Least Common Multiple of Numerators i.e. LCM of 10,8799 is 87990.
GCF of Denominators means GCF of 262,1674 as per the given fractions.
GCF of 262,1674 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,8799
Given numbers has no common factors except 1. So, there LCM is their product i.e 87990
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 10,8799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,8799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,8799) x common factors =1 x 1 = 1
LCM(10,8799) = ( 10 × 8799 ) / 1
LCM(10,8799) = 87990 / 1
LCM(10,8799) = 87990
Lets's calculate GCF of 262,1674
2 | 262, 1674 |
131, 837 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87990/2
Therefore the LCM of Fractions 10/262,8799/1674 is 43995
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
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 262,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1674 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 10/262, 8799/1674?
Answer: LCM of Numerators as per given numbers 10/262, 8799/1674 is
LCM of Numerators i.e. for 10,8799 is 87990
GCF of denominators i.e. for 262,1674 is 2.
Thus, LCM of Fractions is 43995.Finally, LCM of Fractions for 10/262, 8799/1674 is 43995.