Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/832, 445/526 quickly i.e. 5785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/832, 445/526 is 5785.
LCM(130/832, 445/526) = 5785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/832,445/526
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 130,445
Least Common Multiple of Numerators i.e. LCM of 130,445 is 11570.
GCF of Denominators means GCF of 832,526 as per the given fractions.
GCF of 832,526 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,445
5 | 130, 445 |
26, 89 |
∴ So the LCM of the given numbers is 5 x 26 x 89 = 11570
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 130,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,445) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,445) x common factors =5 x 1 = 5
LCM(130,445) = ( 130 × 445 ) / 5
LCM(130,445) = 57850 / 5
LCM(130,445) = 11570
Lets's calculate GCF of 832,526
2 | 832, 526 |
416, 263 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11570/2
Therefore the LCM of Fractions 130/832,445/526 is 5785
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 832,526 . The biggest common factor number is the GCF number.
So the greatest common factor 832,526 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 130/832, 445/526?
Answer: LCM of Numerators as per given numbers 130/832, 445/526 is
LCM of Numerators i.e. for 130,445 is 11570
GCF of denominators i.e. for 832,526 is 2.
Thus, LCM of Fractions is 5785.Finally, LCM of Fractions for 130/832, 445/526 is 5785.