LCM of 579, 552, 871, 943, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 552, 871, 943, 402 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 579, 552, 871, 943, 402. So, keep reading to learn more.
Given numbers are 579,552,871,943,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,552,871,943,402 is 3804507096.
Find LCM of 579,552,871,943,402 with Prime Factorization
| 2 | 579, 552, 871, 943, 402 |
| 3 | 579, 276, 871, 943, 201 |
| 23 | 193, 92, 871, 943, 67 |
| 67 | 193, 4, 871, 41, 67 |
| 193, 4, 13, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 67 x 193 x 4 x 13 x 41 x 1 = 3804507096
Therefore, the lowest common multiple of 579,552,871,943,402 is 3804507096.
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.
579 x 552 x 871 x 943 x 402 = 105529417828848
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.
579 : 1, 3, 193, 579
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
871 : 1, 13, 67, 871
943 : 1, 23, 41, 943
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,552,871,943,402, is 1.
Now, the common factors can be found like this.
579:3x 193
552:2x 2x 2x 3x 23
871:13x 67
943:23x 41
402:2x 3x 67
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 3x 23x 67 = 27738
Therefore, the value for common factors is 27738.
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 = 105529417828848/(1x27738)
LCM = 105529417828848/27738
LCM = 3804507096
Thus, we can understand that the LCM of 579,552,871,943,402 is 3804507096.
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FAQs on LCM of 579, 552, 871, 943, 402
1. What is the LCM of 579, 552, 871, 943, 402?
Answer: LCM of 579, 552, 871, 943, 402 is 3804507096.
2. How to calculate the LCM of 579, 552, 871, 943, 402?
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 579, 552, 871, 943, 402.
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}.