LCM of 579, 786, 312, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 786, 312, 288 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 579, 786, 312, 288. So, keep reading to learn more.
Given numbers are 579,786,312,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,786,312,288 is 94659552.
Find LCM of 579,786,312,288 with Prime Factorization
| 2 | 579, 786, 312, 288 |
| 2 | 579, 393, 156, 144 |
| 2 | 579, 393, 78, 72 |
| 3 | 579, 393, 39, 36 |
| 193, 131, 13, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 193 x 131 x 13 x 12 = 94659552
Therefore, the lowest common multiple of 579,786,312,288 is 94659552.
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.
579 x 786 x 312 x 288 = 40892926464
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.
579 : 1, 3, 193, 579
786 : 1, 2, 3, 6, 131, 262, 393, 786
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,786,312,288, is 3.
Now, the common factors can be found like this.
579:3x 193
786:2x 3x 131
312:2x 2x 2x 3x 13
288:2x 2x 2x 2x 2x 3x 3
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 40892926464/(3x144)
LCM = 40892926464/432
LCM = 94659552
Thus, we can understand that the LCM of 579,786,312,288 is 94659552.
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FAQs on LCM of 579, 786, 312, 288
1. What is the LCM of 579, 786, 312, 288?
Answer: LCM of 579, 786, 312, 288 is 94659552.
2. How to calculate the LCM of 579, 786, 312, 288?
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 579, 786, 312, 288.
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}.