LCM of 623, 364, 637, 528, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 364, 637, 528, 638 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 623, 364, 637, 528, 638. So, keep reading to learn more.
Given numbers are 623,364,637,528,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,364,637,528,638 is 868083216.
Find LCM of 623,364,637,528,638 with Prime Factorization
| 2 | 623, 364, 637, 528, 638 |
| 2 | 623, 182, 637, 264, 319 |
| 7 | 623, 91, 637, 132, 319 |
| 11 | 89, 13, 91, 132, 319 |
| 13 | 89, 13, 91, 12, 29 |
| 89, 1, 7, 12, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 13 x 89 x 1 x 7 x 12 x 29 = 868083216
Therefore, the lowest common multiple of 623,364,637,528,638 is 868083216.
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.
623 x 364 x 637 x 528 x 638 = 48661272756096
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.
623 : 1, 7, 89, 623
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
637 : 1, 7, 13, 49, 91, 637
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,364,637,528,638, is 1.
Now, the common factors can be found like this.
623:7x 89
364:2x 2x 7x 13
637:7x 7x 13
528:2x 2x 2x 2x 3x 11
638:2x 11x 29
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 7x 7x 11x 13 = 56056
Therefore, the value for common factors is 56056.
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 = 48661272756096/(1x56056)
LCM = 48661272756096/56056
LCM = 868083216
Thus, we can understand that the LCM of 623,364,637,528,638 is 868083216.
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FAQs on LCM of 623, 364, 637, 528, 638
1. What is the LCM of 623, 364, 637, 528, 638?
Answer: LCM of 623, 364, 637, 528, 638 is 868083216.
2. How to calculate the LCM of 623, 364, 637, 528, 638?
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 623, 364, 637, 528, 638.
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}.