LCM of 508, 782, 635, 667, 863
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 782, 635, 667, 863 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 508, 782, 635, 667, 863. So, keep reading to learn more.
Given numbers are 508,782,635,667,863
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,782,635,667,863 is 24855314780.
Find LCM of 508,782,635,667,863 with Prime Factorization
| 2 | 508, 782, 635, 667, 863 |
| 23 | 254, 391, 635, 667, 863 |
| 127 | 254, 17, 635, 29, 863 |
| 2, 17, 5, 29, 863 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 127 x 2 x 17 x 5 x 29 x 863 = 24855314780
Therefore, the lowest common multiple of 508,782,635,667,863 is 24855314780.
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.
508 x 782 x 635 x 667 x 863 = 145204748944760
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.
508 : 1, 2, 4, 127, 254, 508
782 : 1, 2, 17, 23, 34, 46, 391, 782
635 : 1, 5, 127, 635
667 : 1, 23, 29, 667
863 : 1, 863
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,782,635,667,863, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
782:2x 17x 23
635:5x 127
667:23x 29
863:863
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 127 = 5842
Therefore, the value for common factors is 5842.
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 = 145204748944760/(1x5842)
LCM = 145204748944760/5842
LCM = 24855314780
Thus, we can understand that the LCM of 508,782,635,667,863 is 24855314780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 782, 635, 667, 863
1. What is the LCM of 508, 782, 635, 667, 863?
Answer: LCM of 508, 782, 635, 667, 863 is 24855314780.
2. How to calculate the LCM of 508, 782, 635, 667, 863?
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 508, 782, 635, 667, 863.
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}.