LCM of 885, 636, 840, 924, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 636, 840, 924, 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 885, 636, 840, 924, 638. So, keep reading to learn more.
Given numbers are 885,636,840,924,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,636,840,924,638 is 837910920.
Find LCM of 885,636,840,924,638 with Prime Factorization
| 2 | 885, 636, 840, 924, 638 |
| 2 | 885, 318, 420, 462, 319 |
| 3 | 885, 159, 210, 231, 319 |
| 5 | 295, 53, 70, 77, 319 |
| 7 | 59, 53, 14, 77, 319 |
| 11 | 59, 53, 2, 11, 319 |
| 59, 53, 2, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 59 x 53 x 2 x 1 x 29 = 837910920
Therefore, the lowest common multiple of 885,636,840,924,638 is 837910920.
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.
885 x 636 x 840 x 924 x 638 = 278722688428800
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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 885,636,840,924,638, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
636:2x 2x 3x 53
840:2x 2x 2x 3x 5x 7
924:2x 2x 3x 7x 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 2x 2x 3x 3x 3x 5x 7x 11 = 332640
Therefore, the value for common factors is 332640.
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 = 278722688428800/(1x332640)
LCM = 278722688428800/332640
LCM = 837910920
Thus, we can understand that the LCM of 885,636,840,924,638 is 837910920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 885, 636, 840, 924, 638
1. What is the LCM of 885, 636, 840, 924, 638?
Answer: LCM of 885, 636, 840, 924, 638 is 837910920.
2. How to calculate the LCM of 885, 636, 840, 924, 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 885, 636, 840, 924, 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}.