LCM of 383, 381, 731, 508, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 381, 731, 508, 766 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 383, 381, 731, 508, 766. So, keep reading to learn more.
Given numbers are 383,381,731,508,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,381,731,508,766 is 426678852.
Find LCM of 383,381,731,508,766 with Prime Factorization
| 2 | 383, 381, 731, 508, 766 |
| 127 | 383, 381, 731, 254, 383 |
| 383 | 383, 3, 731, 2, 383 |
| 1, 3, 731, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 127 x 383 x 1 x 3 x 731 x 2 x 1 = 426678852
Therefore, the lowest common multiple of 383,381,731,508,766 is 426678852.
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.
383 x 381 x 731 x 508 x 766 = 41508172080264
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.
383 : 1, 383
381 : 1, 3, 127, 381
731 : 1, 17, 43, 731
508 : 1, 2, 4, 127, 254, 508
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,381,731,508,766, is 1.
Now, the common factors can be found like this.
383:383
381:3x 127
731:17x 43
508:2x 2x 127
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 127x 383 = 97282
Therefore, the value for common factors is 97282.
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 = 41508172080264/(1x97282)
LCM = 41508172080264/97282
LCM = 426678852
Thus, we can understand that the LCM of 383,381,731,508,766 is 426678852.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 383, 381, 731, 508, 766
1. What is the LCM of 383, 381, 731, 508, 766?
Answer: LCM of 383, 381, 731, 508, 766 is 426678852.
2. How to calculate the LCM of 383, 381, 731, 508, 766?
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 383, 381, 731, 508, 766.
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}.