Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/704, 60/495, 544/451 quickly i.e. 252960/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/704, 60/495, 544/451 is 252960/11.
LCM(93/704, 60/495, 544/451) = 252960/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/704,60/495,544/451
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 93,60,544
Least Common Multiple of Numerators i.e. LCM of 93,60,544 is 252960.
GCF of Denominators means GCF of 704,495,451 as per the given fractions.
GCF of 704,495,451 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,60,544
2 | 93, 60, 544 |
2 | 93, 30, 272 |
3 | 93, 15, 136 |
31, 5, 136 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 5 x 136 = 252960
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 93,60,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,60,544) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(93,60,544) x common factors =1 x 12 = 12
LCM(93,60,544) = ( 93 × 60 × 544 ) / 12
LCM(93,60,544) = 3035520 / 12
LCM(93,60,544) = 252960
Lets's calculate GCF of 704,495,451
11 | 704, 495, 451 |
64, 45, 41 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252960/11
Therefore the LCM of Fractions 93/704,60/495,544/451 is 252960/11
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 704,495,451 . The biggest common factor number is the GCF number.
So the greatest common factor 704,495,451 is 11.
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 93/704, 60/495, 544/451?
Answer: LCM of Numerators as per given numbers 93/704, 60/495, 544/451 is
LCM of Numerators i.e. for 93,60,544 is 252960
GCF of denominators i.e. for 704,495,451 is 11.
Thus, LCM of Fractions is 252960/11.Finally, LCM of Fractions for 93/704, 60/495, 544/451 is 252960/11.