LCM of 456, 578, 352, 628, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 578, 352, 628, 506 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 456, 578, 352, 628, 506. So, keep reading to learn more.
Given numbers are 456,578,352,628,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,578,352,628,506 is 20938369056.
Find LCM of 456,578,352,628,506 with Prime Factorization
| 2 | 456, 578, 352, 628, 506 |
| 2 | 228, 289, 176, 314, 253 |
| 2 | 114, 289, 88, 157, 253 |
| 11 | 57, 289, 44, 157, 253 |
| 57, 289, 4, 157, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 57 x 289 x 4 x 157 x 23 = 20938369056
Therefore, the lowest common multiple of 456,578,352,628,506 is 20938369056.
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.
456 x 578 x 352 x 628 x 506 = 29481223630848
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
578 : 1, 2, 17, 34, 289, 578
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
628 : 1, 2, 4, 157, 314, 628
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,578,352,628,506, is 2.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
578:2x 17x 17
352:2x 2x 2x 2x 2x 11
628:2x 2x 157
506:2x 11x 23
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 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 29481223630848/(2x704)
LCM = 29481223630848/1408
LCM = 20938369056
Thus, we can understand that the LCM of 456,578,352,628,506 is 20938369056.
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FAQs on LCM of 456, 578, 352, 628, 506
1. What is the LCM of 456, 578, 352, 628, 506?
Answer: LCM of 456, 578, 352, 628, 506 is 20938369056.
2. How to calculate the LCM of 456, 578, 352, 628, 506?
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 456, 578, 352, 628, 506.
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}.