Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2772/554, 1989/5635 quickly i.e. 612612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2772/554, 1989/5635 is 612612.
LCM(2772/554, 1989/5635) = 612612
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2772/554,1989/5635
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 2772,1989
Least Common Multiple of Numerators i.e. LCM of 2772,1989 is 612612.
GCF of Denominators means GCF of 554,5635 as per the given fractions.
GCF of 554,5635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2772,1989
3 | 2772, 1989 |
3 | 924, 663 |
308, 221 |
∴ So the LCM of the given numbers is 3 x 3 x 308 x 221 = 612612
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 2772,1989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2772,1989) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(2772,1989) x common factors =9 x 1 = 9
LCM(2772,1989) = ( 2772 × 1989 ) / 9
LCM(2772,1989) = 5513508 / 9
LCM(2772,1989) = 612612
Lets's calculate GCF of 554,5635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612612/1
Therefore the LCM of Fractions 2772/554,1989/5635 is 612612
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 5635
List of positive integer factors of 5635 that divides 5635 without a remainder.
1,5,7,23,35,49,115,161,245,805,1127,5635
Greatest Common Factor
We found the factors 554,5635 . The biggest common factor number is the GCF number.
So the greatest common factor 554,5635 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 2772/554, 1989/5635?
Answer: LCM of Numerators as per given numbers 2772/554, 1989/5635 is
LCM of Numerators i.e. for 2772,1989 is 612612
GCF of denominators i.e. for 554,5635 is 1.
Thus, LCM of Fractions is 612612.Finally, LCM of Fractions for 2772/554, 1989/5635 is 612612.