Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 967/657, 583/888, 550/541 quickly i.e. 28188050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 967/657, 583/888, 550/541 is 28188050.
LCM(967/657, 583/888, 550/541) = 28188050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 967/657,583/888,550/541
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 967,583,550
Least Common Multiple of Numerators i.e. LCM of 967,583,550 is 28188050.
GCF of Denominators means GCF of 657,888,541 as per the given fractions.
GCF of 657,888,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 967,583,550
11 | 967, 583, 550 |
967, 53, 50 |
∴ So the LCM of the given numbers is 11 x 967 x 53 x 50 = 28188050
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 967,583,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,583,550) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(967,583,550) x common factors =1 x 11 = 11
LCM(967,583,550) = ( 967 × 583 × 550 ) / 11
LCM(967,583,550) = 310068550 / 11
LCM(967,583,550) = 28188050
Lets's calculate GCF of 657,888,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28188050/1
Therefore the LCM of Fractions 967/657,583/888,550/541 is 28188050
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
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 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 657,888,541 . The biggest common factor number is the GCF number.
So the greatest common factor 657,888,541 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 967/657, 583/888, 550/541?
Answer: LCM of Numerators as per given numbers 967/657, 583/888, 550/541 is
LCM of Numerators i.e. for 967,583,550 is 28188050
GCF of denominators i.e. for 657,888,541 is 1.
Thus, LCM of Fractions is 28188050.Finally, LCM of Fractions for 967/657, 583/888, 550/541 is 28188050.