LCM of 578, 382, 748, 204, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 382, 748, 204, 320 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, 382, 748, 204, 320. So, keep reading to learn more.
Given numbers are 578,382,748,204,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,382,748,204,320 is 582901440.
Find LCM of 578,382,748,204,320 with Prime Factorization
| 2 | 578, 382, 748, 204, 320 |
| 2 | 289, 191, 374, 102, 160 |
| 17 | 289, 191, 187, 51, 80 |
| 17, 191, 11, 3, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 17 x 191 x 11 x 3 x 80 = 582901440
Therefore, the lowest common multiple of 578,382,748,204,320 is 582901440.
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 382 x 748 x 204 x 320 = 10781345034240
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
382 : 1, 2, 191, 382
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,382,748,204,320, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
382:2x 191
748:2x 2x 11x 17
204:2x 2x 3x 17
320:2x 2x 2x 2x 2x 2x 5
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 17x 17 = 9248
Therefore, the value for common factors is 9248.
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 = 10781345034240/(2x9248)
LCM = 10781345034240/18496
LCM = 582901440
Thus, we can understand that the LCM of 578,382,748,204,320 is 582901440.
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FAQs on LCM of 578, 382, 748, 204, 320
1. What is the LCM of 578, 382, 748, 204, 320?
Answer: LCM of 578, 382, 748, 204, 320 is 582901440.
2. How to calculate the LCM of 578, 382, 748, 204, 320?
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, 382, 748, 204, 320.
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}.