Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8549/630, 4488/110 quickly i.e. 38367912/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8549/630, 4488/110 is 38367912/10.
LCM(8549/630, 4488/110) = 38367912/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8549/630,4488/110
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 8549,4488
Least Common Multiple of Numerators i.e. LCM of 8549,4488 is 38367912.
GCF of Denominators means GCF of 630,110 as per the given fractions.
GCF of 630,110 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8549,4488
Given numbers has no common factors except 1. So, there LCM is their product i.e 38367912
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 8549,4488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8549,4488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8549,4488) x common factors =1 x 1 = 1
LCM(8549,4488) = ( 8549 × 4488 ) / 1
LCM(8549,4488) = 38367912 / 1
LCM(8549,4488) = 38367912
Lets's calculate GCF of 630,110
2 | 630, 110 |
5 | 315, 55 |
63, 11 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38367912/10
Therefore the LCM of Fractions 8549/630,4488/110 is 38367912/10
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 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 630,110 . The biggest common factor number is the GCF number.
So the greatest common factor 630,110 is 10.
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 8549/630, 4488/110?
Answer: LCM of Numerators as per given numbers 8549/630, 4488/110 is
LCM of Numerators i.e. for 8549,4488 is 38367912
GCF of denominators i.e. for 630,110 is 10.
Thus, LCM of Fractions is 38367912/10.Finally, LCM of Fractions for 8549/630, 4488/110 is 38367912/10.