Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/61, 7544/677 quickly i.e. 2089688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/61, 7544/677 is 2089688.
LCM(554/61, 7544/677) = 2089688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/61,7544/677
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 554,7544
Least Common Multiple of Numerators i.e. LCM of 554,7544 is 2089688.
GCF of Denominators means GCF of 61,677 as per the given fractions.
GCF of 61,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,7544
2 | 554, 7544 |
277, 3772 |
∴ So the LCM of the given numbers is 2 x 277 x 3772 = 2089688
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 554,7544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,7544) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,7544) x common factors =2 x 1 = 2
LCM(554,7544) = ( 554 × 7544 ) / 2
LCM(554,7544) = 4179376 / 2
LCM(554,7544) = 2089688
Lets's calculate GCF of 61,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2089688/1
Therefore the LCM of Fractions 554/61,7544/677 is 2089688
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 61,677 . The biggest common factor number is the GCF number.
So the greatest common factor 61,677 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 554/61, 7544/677?
Answer: LCM of Numerators as per given numbers 554/61, 7544/677 is
LCM of Numerators i.e. for 554,7544 is 2089688
GCF of denominators i.e. for 61,677 is 1.
Thus, LCM of Fractions is 2089688.Finally, LCM of Fractions for 554/61, 7544/677 is 2089688.