LCM of 596, 282, 978, 512, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 282, 978, 512, 704 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 596, 282, 978, 512, 704. So, keep reading to learn more.
Given numbers are 596,282,978,512,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,282,978,512,704 is 19286598144.
Find LCM of 596,282,978,512,704 with Prime Factorization
| 2 | 596, 282, 978, 512, 704 |
| 2 | 298, 141, 489, 256, 352 |
| 2 | 149, 141, 489, 128, 176 |
| 2 | 149, 141, 489, 64, 88 |
| 2 | 149, 141, 489, 32, 44 |
| 2 | 149, 141, 489, 16, 22 |
| 3 | 149, 141, 489, 8, 11 |
| 149, 47, 163, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 149 x 47 x 163 x 8 x 11 = 19286598144
Therefore, the lowest common multiple of 596,282,978,512,704 is 19286598144.
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.
596 x 282 x 978 x 512 x 704 = 59248429498368
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.
596 : 1, 2, 4, 149, 298, 596
282 : 1, 2, 3, 6, 47, 94, 141, 282
978 : 1, 2, 3, 6, 163, 326, 489, 978
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,282,978,512,704, is 2.
Now, the common factors can be found like this.
596:2x 2x 149
282:2x 3x 47
978:2x 3x 163
512:2x 2x 2x 2x 2x 2x 2x 2x 2
704:2x 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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 59248429498368/(2x1536)
LCM = 59248429498368/3072
LCM = 19286598144
Thus, we can understand that the LCM of 596,282,978,512,704 is 19286598144.
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FAQs on LCM of 596, 282, 978, 512, 704
1. What is the LCM of 596, 282, 978, 512, 704?
Answer: LCM of 596, 282, 978, 512, 704 is 19286598144.
2. How to calculate the LCM of 596, 282, 978, 512, 704?
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 596, 282, 978, 512, 704.
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}.