LCM of 368, 553, 559, 520, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 553, 559, 520, 428 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 368, 553, 559, 520, 428. So, keep reading to learn more.
Given numbers are 368,553,559,520,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,553,559,520,428 is 60860923760.
Find LCM of 368,553,559,520,428 with Prime Factorization
| 2 | 368, 553, 559, 520, 428 |
| 2 | 184, 553, 559, 260, 214 |
| 2 | 92, 553, 559, 130, 107 |
| 13 | 46, 553, 559, 65, 107 |
| 46, 553, 43, 5, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 46 x 553 x 43 x 5 x 107 = 60860923760
Therefore, the lowest common multiple of 368,553,559,520,428 is 60860923760.
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.
368 x 553 x 559 x 520 x 428 = 25318144284160
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
553 : 1, 7, 79, 553
559 : 1, 13, 43, 559
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,553,559,520,428, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
553:7x 79
559:13x 43
520:2x 2x 2x 5x 13
428:2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 25318144284160/(1x416)
LCM = 25318144284160/416
LCM = 60860923760
Thus, we can understand that the LCM of 368,553,559,520,428 is 60860923760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 368, 553, 559, 520, 428
1. What is the LCM of 368, 553, 559, 520, 428?
Answer: LCM of 368, 553, 559, 520, 428 is 60860923760.
2. How to calculate the LCM of 368, 553, 559, 520, 428?
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 368, 553, 559, 520, 428.
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}.