LCM of 886, 901, 645, 516, 479
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 901, 645, 516, 479 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 886, 901, 645, 516, 479. So, keep reading to learn more.
Given numbers are 886,901,645,516,479
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,901,645,516,479 is 493268902260.
Find LCM of 886,901,645,516,479 with Prime Factorization
| 2 | 886, 901, 645, 516, 479 |
| 3 | 443, 901, 645, 258, 479 |
| 43 | 443, 901, 215, 86, 479 |
| 443, 901, 5, 2, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 443 x 901 x 5 x 2 x 479 = 493268902260
Therefore, the lowest common multiple of 886,901,645,516,479 is 493268902260.
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.
886 x 901 x 645 x 516 x 479 = 127263376783080
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.
886 : 1, 2, 443, 886
901 : 1, 17, 53, 901
645 : 1, 3, 5, 15, 43, 129, 215, 645
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
479 : 1, 479
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,901,645,516,479, is 1.
Now, the common factors can be found like this.
886:2x 443
901:17x 53
645:3x 5x 43
516:2x 2x 3x 43
479:479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43 = 258
Therefore, the value for common factors is 258.
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 = 127263376783080/(1x258)
LCM = 127263376783080/258
LCM = 493268902260
Thus, we can understand that the LCM of 886,901,645,516,479 is 493268902260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 886, 901, 645, 516, 479
1. What is the LCM of 886, 901, 645, 516, 479?
Answer: LCM of 886, 901, 645, 516, 479 is 493268902260.
2. How to calculate the LCM of 886, 901, 645, 516, 479?
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 886, 901, 645, 516, 479.
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}.