LCM of 629, 684, 518, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 684, 518, 489 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 629, 684, 518, 489. So, keep reading to learn more.
Given numbers are 629,684,518,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,684,518,489 is 490899276.
Find LCM of 629,684,518,489 with Prime Factorization
| 2 | 629, 684, 518, 489 |
| 3 | 629, 342, 259, 489 |
| 37 | 629, 114, 259, 163 |
| 17, 114, 7, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 17 x 114 x 7 x 163 = 490899276
Therefore, the lowest common multiple of 629,684,518,489 is 490899276.
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.
629 x 684 x 518 x 489 = 108979639272
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.
629 : 1, 17, 37, 629
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
518 : 1, 2, 7, 14, 37, 74, 259, 518
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,684,518,489, is 1.
Now, the common factors can be found like this.
629:17x 37
684:2x 2x 3x 3x 19
518:2x 7x 37
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 108979639272/(1x222)
LCM = 108979639272/222
LCM = 490899276
Thus, we can understand that the LCM of 629,684,518,489 is 490899276.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 629, 684, 518, 489
1. What is the LCM of 629, 684, 518, 489?
Answer: LCM of 629, 684, 518, 489 is 490899276.
2. How to calculate the LCM of 629, 684, 518, 489?
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 629, 684, 518, 489.
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}.