LCM of 638, 822, 690, 810, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 822, 690, 810, 143 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 638, 822, 690, 810, 143. So, keep reading to learn more.
Given numbers are 638,822,690,810,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,822,690,810,143 is 10584429570.
Find LCM of 638,822,690,810,143 with Prime Factorization
| 2 | 638, 822, 690, 810, 143 |
| 3 | 319, 411, 345, 405, 143 |
| 5 | 319, 137, 115, 135, 143 |
| 11 | 319, 137, 23, 27, 143 |
| 29, 137, 23, 27, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 29 x 137 x 23 x 27 x 13 = 10584429570
Therefore, the lowest common multiple of 638,822,690,810,143 is 10584429570.
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.
638 x 822 x 690 x 810 x 143 = 41914341097200
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
822 : 1, 2, 3, 6, 137, 274, 411, 822
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,822,690,810,143, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
822:2x 3x 137
690:2x 3x 5x 23
810:2x 3x 3x 3x 3x 5
143:11x 13
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 3x 3x 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 41914341097200/(1x3960)
LCM = 41914341097200/3960
LCM = 10584429570
Thus, we can understand that the LCM of 638,822,690,810,143 is 10584429570.
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FAQs on LCM of 638, 822, 690, 810, 143
1. What is the LCM of 638, 822, 690, 810, 143?
Answer: LCM of 638, 822, 690, 810, 143 is 10584429570.
2. How to calculate the LCM of 638, 822, 690, 810, 143?
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 638, 822, 690, 810, 143.
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}.