Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/54, 644/67, 955/752 quickly i.e. 170360540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/54, 644/67, 955/752 is 170360540.
LCM(554/54, 644/67, 955/752) = 170360540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/54,644/67,955/752
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 554,644,955
Least Common Multiple of Numerators i.e. LCM of 554,644,955 is 170360540.
GCF of Denominators means GCF of 54,67,752 as per the given fractions.
GCF of 54,67,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,644,955
2 | 554, 644, 955 |
277, 322, 955 |
∴ So the LCM of the given numbers is 2 x 277 x 322 x 955 = 170360540
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 554,644,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,644,955) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(554,644,955) x common factors =1 x 2 = 2
LCM(554,644,955) = ( 554 × 644 × 955 ) / 2
LCM(554,644,955) = 340721080 / 2
LCM(554,644,955) = 170360540
Lets's calculate GCF of 54,67,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170360540/1
Therefore the LCM of Fractions 554/54,644/67,955/752 is 170360540
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 54,67,752 . The biggest common factor number is the GCF number.
So the greatest common factor 54,67,752 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 554/54, 644/67, 955/752?
Answer: LCM of Numerators as per given numbers 554/54, 644/67, 955/752 is
LCM of Numerators i.e. for 554,644,955 is 170360540
GCF of denominators i.e. for 54,67,752 is 1.
Thus, LCM of Fractions is 170360540.Finally, LCM of Fractions for 554/54, 644/67, 955/752 is 170360540.