Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/545, 32/125, 667/962 quickly i.e. 277472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/545, 32/125, 667/962 is 277472.
LCM(26/545, 32/125, 667/962) = 277472
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/545,32/125,667/962
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 26,32,667
Least Common Multiple of Numerators i.e. LCM of 26,32,667 is 277472.
GCF of Denominators means GCF of 545,125,962 as per the given fractions.
GCF of 545,125,962 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,32,667
2 | 26, 32, 667 |
13, 16, 667 |
∴ So the LCM of the given numbers is 2 x 13 x 16 x 667 = 277472
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 26,32,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,32,667) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,32,667) x common factors =1 x 2 = 2
LCM(26,32,667) = ( 26 × 32 × 667 ) / 2
LCM(26,32,667) = 554944 / 2
LCM(26,32,667) = 277472
Lets's calculate GCF of 545,125,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277472/1
Therefore the LCM of Fractions 26/545,32/125,667/962 is 277472
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 545,125,962 . The biggest common factor number is the GCF number.
So the greatest common factor 545,125,962 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 26/545, 32/125, 667/962?
Answer: LCM of Numerators as per given numbers 26/545, 32/125, 667/962 is
LCM of Numerators i.e. for 26,32,667 is 277472
GCF of denominators i.e. for 545,125,962 is 1.
Thus, LCM of Fractions is 277472.Finally, LCM of Fractions for 26/545, 32/125, 667/962 is 277472.