LCM of 766, 136, 383, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 136, 383, 816 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 766, 136, 383, 816. So, keep reading to learn more.
Given numbers are 766,136,383,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,136,383,816 is 312528.
Find LCM of 766,136,383,816 with Prime Factorization
| 2 | 766, 136, 383, 816 |
| 2 | 383, 68, 383, 408 |
| 2 | 383, 34, 383, 204 |
| 17 | 383, 17, 383, 102 |
| 383 | 383, 1, 383, 6 |
| 1, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 383 x 1 x 1 x 1 x 6 = 312528
Therefore, the lowest common multiple of 766,136,383,816 is 312528.
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.
766 x 136 x 383 x 816 = 32557916928
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.
766 : 1, 2, 383, 766
136 : 1, 2, 4, 8, 17, 34, 68, 136
383 : 1, 383
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,136,383,816, is 1.
Now, the common factors can be found like this.
766:2x 383
136:2x 2x 2x 17
383:383
816:2x 2x 2x 2x 3x 17
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 2x 17x 383 = 104176
Therefore, the value for common factors is 104176.
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 = 32557916928/(1x104176)
LCM = 32557916928/104176
LCM = 312528
Thus, we can understand that the LCM of 766,136,383,816 is 312528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 766, 136, 383, 816
1. What is the LCM of 766, 136, 383, 816?
Answer: LCM of 766, 136, 383, 816 is 312528.
2. How to calculate the LCM of 766, 136, 383, 816?
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 766, 136, 383, 816.
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}.