Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9076/550, 1527/209 quickly i.e. 13859052/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9076/550, 1527/209 is 13859052/11.
LCM(9076/550, 1527/209) = 13859052/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9076/550,1527/209
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 9076,1527
Least Common Multiple of Numerators i.e. LCM of 9076,1527 is 13859052.
GCF of Denominators means GCF of 550,209 as per the given fractions.
GCF of 550,209 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9076,1527
Given numbers has no common factors except 1. So, there LCM is their product i.e 13859052
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 9076,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9076,1527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9076,1527) x common factors =1 x 1 = 1
LCM(9076,1527) = ( 9076 × 1527 ) / 1
LCM(9076,1527) = 13859052 / 1
LCM(9076,1527) = 13859052
Lets's calculate GCF of 550,209
11 | 550, 209 |
50, 19 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13859052/11
Therefore the LCM of Fractions 9076/550,1527/209 is 13859052/11
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 550,209 . The biggest common factor number is the GCF number.
So the greatest common factor 550,209 is 11.
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 9076/550, 1527/209?
Answer: LCM of Numerators as per given numbers 9076/550, 1527/209 is
LCM of Numerators i.e. for 9076,1527 is 13859052
GCF of denominators i.e. for 550,209 is 11.
Thus, LCM of Fractions is 13859052/11.Finally, LCM of Fractions for 9076/550, 1527/209 is 13859052/11.