Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/671, 252/971, 720/387 quickly i.e. 55440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/671, 252/971, 720/387 is 55440.
LCM(55/671, 252/971, 720/387) = 55440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/671,252/971,720/387
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 55,252,720
Least Common Multiple of Numerators i.e. LCM of 55,252,720 is 55440.
GCF of Denominators means GCF of 671,971,387 as per the given fractions.
GCF of 671,971,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,252,720
2 | 55, 252, 720 |
2 | 55, 126, 360 |
3 | 55, 63, 180 |
3 | 55, 21, 60 |
5 | 55, 7, 20 |
11, 7, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 11 x 7 x 4 = 55440
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 55,252,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,252,720) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(55,252,720) x common factors =1 x 180 = 180
LCM(55,252,720) = ( 55 × 252 × 720 ) / 180
LCM(55,252,720) = 9979200 / 180
LCM(55,252,720) = 55440
Lets's calculate GCF of 671,971,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55440/1
Therefore the LCM of Fractions 55/671,252/971,720/387 is 55440
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 671,971,387 . The biggest common factor number is the GCF number.
So the greatest common factor 671,971,387 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 55/671, 252/971, 720/387?
Answer: LCM of Numerators as per given numbers 55/671, 252/971, 720/387 is
LCM of Numerators i.e. for 55,252,720 is 55440
GCF of denominators i.e. for 671,971,387 is 1.
Thus, LCM of Fractions is 55440.Finally, LCM of Fractions for 55/671, 252/971, 720/387 is 55440.