Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/926, 5311/7286 quickly i.e. 74354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/926, 5311/7286 is 74354.
LCM(28/926, 5311/7286) = 74354
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/926,5311/7286
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 28,5311
Least Common Multiple of Numerators i.e. LCM of 28,5311 is 148708.
GCF of Denominators means GCF of 926,7286 as per the given fractions.
GCF of 926,7286 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,5311
Given numbers has no common factors except 1. So, there LCM is their product i.e 148708
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 28,5311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,5311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,5311) x common factors =1 x 1 = 1
LCM(28,5311) = ( 28 × 5311 ) / 1
LCM(28,5311) = 148708 / 1
LCM(28,5311) = 148708
Lets's calculate GCF of 926,7286
2 | 926, 7286 |
463, 3643 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148708/2
Therefore the LCM of Fractions 28/926,5311/7286 is 74354
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 7286
List of positive integer factors of 7286 that divides 7286 without a remainder.
1,2,3643,7286
Greatest Common Factor
We found the factors 926,7286 . The biggest common factor number is the GCF number.
So the greatest common factor 926,7286 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 28/926, 5311/7286?
Answer: LCM of Numerators as per given numbers 28/926, 5311/7286 is
LCM of Numerators i.e. for 28,5311 is 148708
GCF of denominators i.e. for 926,7286 is 2.
Thus, LCM of Fractions is 74354.Finally, LCM of Fractions for 28/926, 5311/7286 is 74354.