LCM of 749, 832, 731, 289, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 832, 731, 289, 658 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 749, 832, 731, 289, 658. So, keep reading to learn more.
Given numbers are 749,832,731,289,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,832,731,289,658 is 363973110592.
Find LCM of 749,832,731,289,658 with Prime Factorization
| 2 | 749, 832, 731, 289, 658 |
| 7 | 749, 416, 731, 289, 329 |
| 17 | 107, 416, 731, 289, 47 |
| 107, 416, 43, 17, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 107 x 416 x 43 x 17 x 47 = 363973110592
Therefore, the lowest common multiple of 749,832,731,289,658 is 363973110592.
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.
749 x 832 x 731 x 289 x 658 = 86625600320896
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.
749 : 1, 7, 107, 749
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
731 : 1, 17, 43, 731
289 : 1, 17, 289
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,832,731,289,658, is 1.
Now, the common factors can be found like this.
749:7x 107
832:2x 2x 2x 2x 2x 2x 13
731:17x 43
289:17x 17
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 86625600320896/(1x238)
LCM = 86625600320896/238
LCM = 363973110592
Thus, we can understand that the LCM of 749,832,731,289,658 is 363973110592.
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FAQs on LCM of 749, 832, 731, 289, 658
1. What is the LCM of 749, 832, 731, 289, 658?
Answer: LCM of 749, 832, 731, 289, 658 is 363973110592.
2. How to calculate the LCM of 749, 832, 731, 289, 658?
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 749, 832, 731, 289, 658.
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}.