LCM of 599, 806, 416, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 806, 416, 689 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 599, 806, 416, 689. So, keep reading to learn more.
Given numbers are 599,806,416,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,806,416,689 is 409409312.
Find LCM of 599,806,416,689 with Prime Factorization
| 2 | 599, 806, 416, 689 |
| 13 | 599, 403, 208, 689 |
| 599, 31, 16, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 599 x 31 x 16 x 53 = 409409312
Therefore, the lowest common multiple of 599,806,416,689 is 409409312.
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.
599 x 806 x 416 x 689 = 138380347456
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.
599 : 1, 599
806 : 1, 2, 13, 26, 31, 62, 403, 806
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,806,416,689, is 1.
Now, the common factors can be found like this.
599:599
806:2x 13x 31
416:2x 2x 2x 2x 2x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 138380347456/(1x338)
LCM = 138380347456/338
LCM = 409409312
Thus, we can understand that the LCM of 599,806,416,689 is 409409312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 806, 416, 689
1. What is the LCM of 599, 806, 416, 689?
Answer: LCM of 599, 806, 416, 689 is 409409312.
2. How to calculate the LCM of 599, 806, 416, 689?
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 599, 806, 416, 689.
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}.