LCM of 417, 260, 832, 862
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 260, 832, 862 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 417, 260, 832, 862. So, keep reading to learn more.
Given numbers are 417,260,832,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,260,832,862 is 747664320.
Find LCM of 417,260,832,862 with Prime Factorization
| 2 | 417, 260, 832, 862 |
| 2 | 417, 130, 416, 431 |
| 13 | 417, 65, 208, 431 |
| 417, 5, 16, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 417 x 5 x 16 x 431 = 747664320
Therefore, the lowest common multiple of 417,260,832,862 is 747664320.
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.
417 x 260 x 832 x 862 = 77757089280
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.
417 : 1, 3, 139, 417
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,260,832,862, is 1.
Now, the common factors can be found like this.
417:3x 139
260:2x 2x 5x 13
832:2x 2x 2x 2x 2x 2x 13
862:2x 431
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 13 = 104
Therefore, the value for common factors is 104.
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 = 77757089280/(1x104)
LCM = 77757089280/104
LCM = 747664320
Thus, we can understand that the LCM of 417,260,832,862 is 747664320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 260, 832, 862
1. What is the LCM of 417, 260, 832, 862?
Answer: LCM of 417, 260, 832, 862 is 747664320.
2. How to calculate the LCM of 417, 260, 832, 862?
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 417, 260, 832, 862.
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}.