LCM of 299, 187, 871, 560, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 187, 871, 560, 578 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, 187, 871, 560, 578. So, keep reading to learn more.
Given numbers are 299,187,871,560,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,187,871,560,578 is 35663547920.
Find LCM of 299,187,871,560,578 with Prime Factorization
| 2 | 299, 187, 871, 560, 578 |
| 13 | 299, 187, 871, 280, 289 |
| 17 | 23, 187, 67, 280, 289 |
| 23, 11, 67, 280, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 23 x 11 x 67 x 280 x 17 = 35663547920
Therefore, the lowest common multiple of 299,187,871,560,578 is 35663547920.
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 187 x 871 x 560 x 578 = 15763288180640
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
187 : 1, 11, 17, 187
871 : 1, 13, 67, 871
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,187,871,560,578, is 1.
Now, the common factors can be found like this.
299:13x 23
187:11x 17
871:13x 67
560:2x 2x 2x 2x 5x 7
578:2x 17x 17
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 17 = 442
Therefore, the value for common factors is 442.
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 = 15763288180640/(1x442)
LCM = 15763288180640/442
LCM = 35663547920
Thus, we can understand that the LCM of 299,187,871,560,578 is 35663547920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 299, 187, 871, 560, 578
1. What is the LCM of 299, 187, 871, 560, 578?
Answer: LCM of 299, 187, 871, 560, 578 is 35663547920.
2. How to calculate the LCM of 299, 187, 871, 560, 578?
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, 187, 871, 560, 578.
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}.