Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 526/890, 8313/745 quickly i.e. 4372638/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 526/890, 8313/745 is 4372638/5.
LCM(526/890, 8313/745) = 4372638/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 526/890,8313/745
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 526,8313
Least Common Multiple of Numerators i.e. LCM of 526,8313 is 4372638.
GCF of Denominators means GCF of 890,745 as per the given fractions.
GCF of 890,745 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 526,8313
Given numbers has no common factors except 1. So, there LCM is their product i.e 4372638
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 526,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,8313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,8313) x common factors =1 x 1 = 1
LCM(526,8313) = ( 526 × 8313 ) / 1
LCM(526,8313) = 4372638 / 1
LCM(526,8313) = 4372638
Lets's calculate GCF of 890,745
5 | 890, 745 |
178, 149 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4372638/5
Therefore the LCM of Fractions 526/890,8313/745 is 4372638/5
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 890,745 . The biggest common factor number is the GCF number.
So the greatest common factor 890,745 is 5.
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 526/890, 8313/745?
Answer: LCM of Numerators as per given numbers 526/890, 8313/745 is
LCM of Numerators i.e. for 526,8313 is 4372638
GCF of denominators i.e. for 890,745 is 5.
Thus, LCM of Fractions is 4372638/5.Finally, LCM of Fractions for 526/890, 8313/745 is 4372638/5.