Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/888, 470/332, 491/551 quickly i.e. 64384830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/888, 470/332, 491/551 is 64384830.
LCM(279/888, 470/332, 491/551) = 64384830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/888,470/332,491/551
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 279,470,491
Least Common Multiple of Numerators i.e. LCM of 279,470,491 is 64384830.
GCF of Denominators means GCF of 888,332,551 as per the given fractions.
GCF of 888,332,551 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,470,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 64384830
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 279,470,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,470,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,470,491) x common factors =1 x 1 = 1
LCM(279,470,491) = ( 279 × 470 × 491 ) / 1
LCM(279,470,491) = 64384830 / 1
LCM(279,470,491) = 64384830
Lets's calculate GCF of 888,332,551
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64384830/1
Therefore the LCM of Fractions 279/888,470/332,491/551 is 64384830
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Greatest Common Factor
We found the factors 888,332,551 . The biggest common factor number is the GCF number.
So the greatest common factor 888,332,551 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 279/888, 470/332, 491/551?
Answer: LCM of Numerators as per given numbers 279/888, 470/332, 491/551 is
LCM of Numerators i.e. for 279,470,491 is 64384830
GCF of denominators i.e. for 888,332,551 is 1.
Thus, LCM of Fractions is 64384830.Finally, LCM of Fractions for 279/888, 470/332, 491/551 is 64384830.