LCM of 404, 748, 718, 459, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 404, 748, 718, 459, 774 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 404, 748, 718, 459, 774. So, keep reading to learn more.
Given numbers are 404,748,718,459,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 404,748,718,459,774 is 31488330852.
Find LCM of 404,748,718,459,774 with Prime Factorization
| 2 | 404, 748, 718, 459, 774 |
| 2 | 202, 374, 359, 459, 387 |
| 3 | 101, 187, 359, 459, 387 |
| 3 | 101, 187, 359, 153, 129 |
| 17 | 101, 187, 359, 51, 43 |
| 101, 11, 359, 3, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 101 x 11 x 359 x 3 x 43 = 31488330852
Therefore, the lowest common multiple of 404,748,718,459,774 is 31488330852.
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.
404 x 748 x 718 x 459 x 774 = 77083433925696
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.
404 : 1, 2, 4, 101, 202, 404
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
718 : 1, 2, 359, 718
459 : 1, 3, 9, 17, 27, 51, 153, 459
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,748,718,459,774, is 1.
Now, the common factors can be found like this.
404:2x 2x 101
748:2x 2x 11x 17
718:2x 359
459:3x 3x 3x 17
774:2x 3x 3x 43
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 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 77083433925696/(1x2448)
LCM = 77083433925696/2448
LCM = 31488330852
Thus, we can understand that the LCM of 404,748,718,459,774 is 31488330852.
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FAQs on LCM of 404, 748, 718, 459, 774
1. What is the LCM of 404, 748, 718, 459, 774?
Answer: LCM of 404, 748, 718, 459, 774 is 31488330852.
2. How to calculate the LCM of 404, 748, 718, 459, 774?
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 404, 748, 718, 459, 774.
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}.