LCM of 493, 465, 320, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 465, 320, 102 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 493, 465, 320, 102. So, keep reading to learn more.
Given numbers are 493,465,320,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,465,320,102 is 14671680.
Find LCM of 493,465,320,102 with Prime Factorization
| 2 | 493, 465, 320, 102 |
| 3 | 493, 465, 160, 51 |
| 5 | 493, 155, 160, 17 |
| 17 | 493, 31, 32, 17 |
| 29, 31, 32, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 29 x 31 x 32 x 1 = 14671680
Therefore, the lowest common multiple of 493,465,320,102 is 14671680.
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.
493 x 465 x 320 x 102 = 7482556800
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.
493 : 1, 17, 29, 493
465 : 1, 3, 5, 15, 31, 93, 155, 465
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,465,320,102, is 1.
Now, the common factors can be found like this.
493:17x 29
465:3x 5x 31
320:2x 2x 2x 2x 2x 2x 5
102:2x 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 3x 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 7482556800/(1x510)
LCM = 7482556800/510
LCM = 14671680
Thus, we can understand that the LCM of 493,465,320,102 is 14671680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 465, 320, 102
1. What is the LCM of 493, 465, 320, 102?
Answer: LCM of 493, 465, 320, 102 is 14671680.
2. How to calculate the LCM of 493, 465, 320, 102?
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 493, 465, 320, 102.
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}.