LCM of 259, 598, 689, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 598, 689, 520 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 259, 598, 689, 520. So, keep reading to learn more.
Given numbers are 259,598,689,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,598,689,520 is 164174920.
Find LCM of 259,598,689,520 with Prime Factorization
| 2 | 259, 598, 689, 520 |
| 13 | 259, 299, 689, 260 |
| 259, 23, 53, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 259 x 23 x 53 x 20 = 164174920
Therefore, the lowest common multiple of 259,598,689,520 is 164174920.
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.
259 x 598 x 689 x 520 = 55491122960
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.
259 : 1, 7, 37, 259
598 : 1, 2, 13, 23, 26, 46, 299, 598
689 : 1, 13, 53, 689
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,598,689,520, is 1.
Now, the common factors can be found like this.
259:7x 37
598:2x 13x 23
689:13x 53
520:2x 2x 2x 5x 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 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 = 55491122960/(1x338)
LCM = 55491122960/338
LCM = 164174920
Thus, we can understand that the LCM of 259,598,689,520 is 164174920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 598, 689, 520
1. What is the LCM of 259, 598, 689, 520?
Answer: LCM of 259, 598, 689, 520 is 164174920.
2. How to calculate the LCM of 259, 598, 689, 520?
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 259, 598, 689, 520.
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}.