Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/446, 93/638, 520/645 quickly i.e. 2079480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/446, 93/638, 520/645 is 2079480.
LCM(86/446, 93/638, 520/645) = 2079480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/446,93/638,520/645
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 86,93,520
Least Common Multiple of Numerators i.e. LCM of 86,93,520 is 2079480.
GCF of Denominators means GCF of 446,638,645 as per the given fractions.
GCF of 446,638,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,93,520
2 | 86, 93, 520 |
43, 93, 260 |
∴ So the LCM of the given numbers is 2 x 43 x 93 x 260 = 2079480
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 86,93,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,93,520) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,93,520) x common factors =1 x 2 = 2
LCM(86,93,520) = ( 86 × 93 × 520 ) / 2
LCM(86,93,520) = 4158960 / 2
LCM(86,93,520) = 2079480
Lets's calculate GCF of 446,638,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2079480/1
Therefore the LCM of Fractions 86/446,93/638,520/645 is 2079480
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 446,638,645 . The biggest common factor number is the GCF number.
So the greatest common factor 446,638,645 is 1.
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 86/446, 93/638, 520/645?
Answer: LCM of Numerators as per given numbers 86/446, 93/638, 520/645 is
LCM of Numerators i.e. for 86,93,520 is 2079480
GCF of denominators i.e. for 446,638,645 is 1.
Thus, LCM of Fractions is 2079480.Finally, LCM of Fractions for 86/446, 93/638, 520/645 is 2079480.