LCM of 495, 816, 463, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 816, 463, 764 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 495, 816, 463, 764. So, keep reading to learn more.
Given numbers are 495,816,463,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,816,463,764 is 11906619120.
Find LCM of 495,816,463,764 with Prime Factorization
| 2 | 495, 816, 463, 764 |
| 2 | 495, 408, 463, 382 |
| 3 | 495, 204, 463, 191 |
| 165, 68, 463, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 165 x 68 x 463 x 191 = 11906619120
Therefore, the lowest common multiple of 495,816,463,764 is 11906619120.
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.
495 x 816 x 463 x 764 = 142879429440
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
463 : 1, 463
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,816,463,764, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
816:2x 2x 2x 2x 3x 17
463:463
764:2x 2x 191
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 3 = 12
Therefore, the value for common factors is 12.
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 = 142879429440/(1x12)
LCM = 142879429440/12
LCM = 11906619120
Thus, we can understand that the LCM of 495,816,463,764 is 11906619120.
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FAQs on LCM of 495, 816, 463, 764
1. What is the LCM of 495, 816, 463, 764?
Answer: LCM of 495, 816, 463, 764 is 11906619120.
2. How to calculate the LCM of 495, 816, 463, 764?
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 495, 816, 463, 764.
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}.