LCM of 351, 501, 960, 411, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 501, 960, 411, 501 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 351, 501, 960, 411, 501. So, keep reading to learn more.
Given numbers are 351,501,960,411,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,501,960,411,501 is 2569769280.
Find LCM of 351,501,960,411,501 with Prime Factorization
| 3 | 351, 501, 960, 411, 501 |
| 167 | 117, 167, 320, 137, 167 |
| 117, 1, 320, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 167 x 117 x 1 x 320 x 137 x 1 = 2569769280
Therefore, the lowest common multiple of 351,501,960,411,501 is 2569769280.
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.
351 x 501 x 960 x 411 x 501 = 34761269050560
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
501 : 1, 3, 167, 501
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
411 : 1, 3, 137, 411
501 : 1, 3, 167, 501
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,501,960,411,501, is 3.
Now, the common factors can be found like this.
351:3x 3x 3x 13
501:3x 167
960:2x 2x 2x 2x 2x 2x 3x 5
411:3x 137
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 167 = 4509
Therefore, the value for common factors is 4509.
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 = 34761269050560/(3x4509)
LCM = 34761269050560/13527
LCM = 2569769280
Thus, we can understand that the LCM of 351,501,960,411,501 is 2569769280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 351, 501, 960, 411, 501
1. What is the LCM of 351, 501, 960, 411, 501?
Answer: LCM of 351, 501, 960, 411, 501 is 2569769280.
2. How to calculate the LCM of 351, 501, 960, 411, 501?
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 351, 501, 960, 411, 501.
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}.