LCM of 299, 169, 442, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 169, 442, 560 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 299, 169, 442, 560. So, keep reading to learn more.
Given numbers are 299,169,442,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,169,442,560 is 37004240.
Find LCM of 299,169,442,560 with Prime Factorization
| 2 | 299, 169, 442, 560 |
| 13 | 299, 169, 221, 280 |
| 23, 13, 17, 280 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 13 x 17 x 280 = 37004240
Therefore, the lowest common multiple of 299,169,442,560 is 37004240.
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.
299 x 169 x 442 x 560 = 12507433120
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.
299 : 1, 13, 23, 299
169 : 1, 13, 169
442 : 1, 2, 13, 17, 26, 34, 221, 442
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,169,442,560, is 1.
Now, the common factors can be found like this.
299:13x 23
169:13x 13
442:2x 13x 17
560:2x 2x 2x 2x 5x 7
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 = 12507433120/(1x338)
LCM = 12507433120/338
LCM = 37004240
Thus, we can understand that the LCM of 299,169,442,560 is 37004240.
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FAQs on LCM of 299, 169, 442, 560
1. What is the LCM of 299, 169, 442, 560?
Answer: LCM of 299, 169, 442, 560 is 37004240.
2. How to calculate the LCM of 299, 169, 442, 560?
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 299, 169, 442, 560.
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}.