Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 893/630, 864/367 quickly i.e. 771552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 893/630, 864/367 is 771552.
LCM(893/630, 864/367) = 771552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 893/630,864/367
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 893,864
Least Common Multiple of Numerators i.e. LCM of 893,864 is 771552.
GCF of Denominators means GCF of 630,367 as per the given fractions.
GCF of 630,367 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 893,864
Given numbers has no common factors except 1. So, there LCM is their product i.e 771552
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 893,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,864) x common factors =1 x 1 = 1
LCM(893,864) = ( 893 × 864 ) / 1
LCM(893,864) = 771552 / 1
LCM(893,864) = 771552
Lets's calculate GCF of 630,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771552/1
Therefore the LCM of Fractions 893/630,864/367 is 771552
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 630,367 . The biggest common factor number is the GCF number.
So the greatest common factor 630,367 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 893/630, 864/367?
Answer: LCM of Numerators as per given numbers 893/630, 864/367 is
LCM of Numerators i.e. for 893,864 is 771552
GCF of denominators i.e. for 630,367 is 1.
Thus, LCM of Fractions is 771552.Finally, LCM of Fractions for 893/630, 864/367 is 771552.