Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 817/926, 6424/140 quickly i.e. 2624204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 817/926, 6424/140 is 2624204.
LCM(817/926, 6424/140) = 2624204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 817/926,6424/140
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 817,6424
Least Common Multiple of Numerators i.e. LCM of 817,6424 is 5248408.
GCF of Denominators means GCF of 926,140 as per the given fractions.
GCF of 926,140 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 817,6424
Given numbers has no common factors except 1. So, there LCM is their product i.e 5248408
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 817,6424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,6424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,6424) x common factors =1 x 1 = 1
LCM(817,6424) = ( 817 × 6424 ) / 1
LCM(817,6424) = 5248408 / 1
LCM(817,6424) = 5248408
Lets's calculate GCF of 926,140
2 | 926, 140 |
463, 70 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5248408/2
Therefore the LCM of Fractions 817/926,6424/140 is 2624204
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 926,140 . The biggest common factor number is the GCF number.
So the greatest common factor 926,140 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 817/926, 6424/140?
Answer: LCM of Numerators as per given numbers 817/926, 6424/140 is
LCM of Numerators i.e. for 817,6424 is 5248408
GCF of denominators i.e. for 926,140 is 2.
Thus, LCM of Fractions is 2624204.Finally, LCM of Fractions for 817/926, 6424/140 is 2624204.