LCM of 674, 724, 444, 259, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 724, 444, 259, 318 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 674, 724, 444, 259, 318. So, keep reading to learn more.
Given numbers are 674,724,444,259,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,724,444,259,318 is 10047669828.
Find LCM of 674,724,444,259,318 with Prime Factorization
| 2 | 674, 724, 444, 259, 318 |
| 2 | 337, 362, 222, 259, 159 |
| 3 | 337, 181, 111, 259, 159 |
| 37 | 337, 181, 37, 259, 53 |
| 337, 181, 1, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 337 x 181 x 1 x 7 x 53 = 10047669828
Therefore, the lowest common multiple of 674,724,444,259,318 is 10047669828.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
674 x 724 x 444 x 259 x 318 = 17844661614528
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
674 : 1, 2, 337, 674
724 : 1, 2, 4, 181, 362, 724
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
259 : 1, 7, 37, 259
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,724,444,259,318, is 1.
Now, the common factors can be found like this.
674:2x 337
724:2x 2x 181
444:2x 2x 3x 37
259:7x 37
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 37 = 1776
Therefore, the value for common factors is 1776.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 17844661614528/(1x1776)
LCM = 17844661614528/1776
LCM = 10047669828
Thus, we can understand that the LCM of 674,724,444,259,318 is 10047669828.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 674, 724, 444, 259, 318
1. What is the LCM of 674, 724, 444, 259, 318?
Answer: LCM of 674, 724, 444, 259, 318 is 10047669828.
2. How to calculate the LCM of 674, 724, 444, 259, 318?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 674, 724, 444, 259, 318.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.