LCM of 648, 597, 960, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 597, 960, 351 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 648, 597, 960, 351. So, keep reading to learn more.
Given numbers are 648,597,960,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,597,960,351 is 67055040.
Find LCM of 648,597,960,351 with Prime Factorization
| 2 | 648, 597, 960, 351 |
| 2 | 324, 597, 480, 351 |
| 2 | 162, 597, 240, 351 |
| 3 | 81, 597, 120, 351 |
| 3 | 27, 199, 40, 117 |
| 3 | 9, 199, 40, 39 |
| 3, 199, 40, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 199 x 40 x 13 = 67055040
Therefore, the lowest common multiple of 648,597,960,351 is 67055040.
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.
648 x 597 x 960 x 351 = 130354997760
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
597 : 1, 3, 199, 597
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
351 : 1, 3, 9, 13, 27, 39, 117, 351
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,597,960,351, is 3.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
597:3x 199
960:2x 2x 2x 2x 2x 2x 3x 5
351:3x 3x 3x 13
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 130354997760/(3x648)
LCM = 130354997760/1944
LCM = 67055040
Thus, we can understand that the LCM of 648,597,960,351 is 67055040.
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FAQs on LCM of 648, 597, 960, 351
1. What is the LCM of 648, 597, 960, 351?
Answer: LCM of 648, 597, 960, 351 is 67055040.
2. How to calculate the LCM of 648, 597, 960, 351?
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 648, 597, 960, 351.
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}.