Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/82, 672/10, 224/945 quickly i.e. 24864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/82, 672/10, 224/945 is 24864.
LCM(74/82, 672/10, 224/945) = 24864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/82,672/10,224/945
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 74,672,224
Least Common Multiple of Numerators i.e. LCM of 74,672,224 is 24864.
GCF of Denominators means GCF of 82,10,945 as per the given fractions.
GCF of 82,10,945 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,672,224
2 | 74, 672, 224 |
2 | 37, 336, 112 |
2 | 37, 168, 56 |
2 | 37, 84, 28 |
2 | 37, 42, 14 |
7 | 37, 21, 7 |
37, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 37 x 3 x 1 = 24864
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 74,672,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,672,224) = 2
common factors(in case of two or more numbers have common factors) = 224
GCF(74,672,224) x common factors =2 x 224 = 448
LCM(74,672,224) = ( 74 × 672 × 224 ) / 448
LCM(74,672,224) = 11139072 / 448
LCM(74,672,224) = 24864
Lets's calculate GCF of 82,10,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24864/1
Therefore the LCM of Fractions 74/82,672/10,224/945 is 24864
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 82,10,945 . The biggest common factor number is the GCF number.
So the greatest common factor 82,10,945 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 74/82, 672/10, 224/945?
Answer: LCM of Numerators as per given numbers 74/82, 672/10, 224/945 is
LCM of Numerators i.e. for 74,672,224 is 24864
GCF of denominators i.e. for 82,10,945 is 1.
Thus, LCM of Fractions is 24864.Finally, LCM of Fractions for 74/82, 672/10, 224/945 is 24864.