LCM of 747, 391, 581, 646, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 391, 581, 646, 826 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 747, 391, 581, 646, 826. So, keep reading to learn more.
Given numbers are 747,391,581,646,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,391,581,646,826 is 4583856438.
Find LCM of 747,391,581,646,826 with Prime Factorization
| 2 | 747, 391, 581, 646, 826 |
| 7 | 747, 391, 581, 323, 413 |
| 17 | 747, 391, 83, 323, 59 |
| 83 | 747, 23, 83, 19, 59 |
| 9, 23, 1, 19, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 83 x 9 x 23 x 1 x 19 x 59 = 4583856438
Therefore, the lowest common multiple of 747,391,581,646,826 is 4583856438.
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.
747 x 391 x 581 x 646 x 826 = 90549500076252
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.
747 : 1, 3, 9, 83, 249, 747
391 : 1, 17, 23, 391
581 : 1, 7, 83, 581
646 : 1, 2, 17, 19, 34, 38, 323, 646
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,391,581,646,826, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
391:17x 23
581:7x 83
646:2x 17x 19
826:2x 7x 59
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 17x 83 = 19754
Therefore, the value for common factors is 19754.
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 = 90549500076252/(1x19754)
LCM = 90549500076252/19754
LCM = 4583856438
Thus, we can understand that the LCM of 747,391,581,646,826 is 4583856438.
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FAQs on LCM of 747, 391, 581, 646, 826
1. What is the LCM of 747, 391, 581, 646, 826?
Answer: LCM of 747, 391, 581, 646, 826 is 4583856438.
2. How to calculate the LCM of 747, 391, 581, 646, 826?
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 747, 391, 581, 646, 826.
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}.