LCM of 915, 501, 165, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 915, 501, 165, 407 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 915, 501, 165, 407. So, keep reading to learn more.
Given numbers are 915,501,165,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,501,165,407 is 62191635.
Find LCM of 915,501,165,407 with Prime Factorization
| 3 | 915, 501, 165, 407 |
| 5 | 305, 167, 55, 407 |
| 11 | 61, 167, 11, 407 |
| 61, 167, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 61 x 167 x 1 x 37 = 62191635
Therefore, the lowest common multiple of 915,501,165,407 is 62191635.
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.
915 x 501 x 165 x 407 = 30784859325
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
501 : 1, 3, 167, 501
165 : 1, 3, 5, 11, 15, 33, 55, 165
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,501,165,407, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
501:3x 167
165:3x 5x 11
407:11x 37
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 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 30784859325/(1x495)
LCM = 30784859325/495
LCM = 62191635
Thus, we can understand that the LCM of 915,501,165,407 is 62191635.
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FAQs on LCM of 915, 501, 165, 407
1. What is the LCM of 915, 501, 165, 407?
Answer: LCM of 915, 501, 165, 407 is 62191635.
2. How to calculate the LCM of 915, 501, 165, 407?
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 915, 501, 165, 407.
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}.