LCM of 578, 216, 528, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 216, 528, 352 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 578, 216, 528, 352. So, keep reading to learn more.
Given numbers are 578,216,528,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,216,528,352 is 2746656.
Find LCM of 578,216,528,352 with Prime Factorization
| 2 | 578, 216, 528, 352 |
| 2 | 289, 108, 264, 176 |
| 2 | 289, 54, 132, 88 |
| 2 | 289, 27, 66, 44 |
| 3 | 289, 27, 33, 22 |
| 11 | 289, 9, 11, 22 |
| 289, 9, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 289 x 9 x 1 x 2 = 2746656
Therefore, the lowest common multiple of 578,216,528,352 is 2746656.
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.
578 x 216 x 528 x 352 = 23203749888
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.
578 : 1, 2, 17, 34, 289, 578
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,216,528,352, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
216:2x 2x 2x 3x 3x 3
528:2x 2x 2x 2x 3x 11
352:2x 2x 2x 2x 2x 11
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 2x 3x 11 = 4224
Therefore, the value for common factors is 4224.
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 = 23203749888/(2x4224)
LCM = 23203749888/8448
LCM = 2746656
Thus, we can understand that the LCM of 578,216,528,352 is 2746656.
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FAQs on LCM of 578, 216, 528, 352
1. What is the LCM of 578, 216, 528, 352?
Answer: LCM of 578, 216, 528, 352 is 2746656.
2. How to calculate the LCM of 578, 216, 528, 352?
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 578, 216, 528, 352.
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}.