LCM of 143, 407, 417, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 407, 417, 417 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 143, 407, 417, 417. So, keep reading to learn more.
Given numbers are 143,407,417,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,407,417,417 is 2206347.
Find LCM of 143,407,417,417 with Prime Factorization
| 3 | 143, 407, 417, 417 |
| 11 | 143, 407, 139, 139 |
| 139 | 13, 37, 139, 139 |
| 13, 37, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 139 x 13 x 37 x 1 x 1 = 2206347
Therefore, the lowest common multiple of 143,407,417,417 is 2206347.
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.
143 x 407 x 417 x 417 = 10120513689
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.
143 : 1, 11, 13, 143
407 : 1, 11, 37, 407
417 : 1, 3, 139, 417
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,407,417,417, is 1.
Now, the common factors can be found like this.
143:11x 13
407:11x 37
417:3x 139
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 139 = 4587
Therefore, the value for common factors is 4587.
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 = 10120513689/(1x4587)
LCM = 10120513689/4587
LCM = 2206347
Thus, we can understand that the LCM of 143,407,417,417 is 2206347.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 143, 407, 417, 417
1. What is the LCM of 143, 407, 417, 417?
Answer: LCM of 143, 407, 417, 417 is 2206347.
2. How to calculate the LCM of 143, 407, 417, 417?
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 143, 407, 417, 417.
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}.