LCM of 323, 690, 105, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 690, 105, 493 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 323, 690, 105, 493. So, keep reading to learn more.
Given numbers are 323,690,105,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,690,105,493 is 45242610.
Find LCM of 323,690,105,493 with Prime Factorization
| 3 | 323, 690, 105, 493 |
| 5 | 323, 230, 35, 493 |
| 17 | 323, 46, 7, 493 |
| 19, 46, 7, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 19 x 46 x 7 x 29 = 45242610
Therefore, the lowest common multiple of 323,690,105,493 is 45242610.
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.
323 x 690 x 105 x 493 = 11536865550
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.
323 : 1, 17, 19, 323
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
105 : 1, 3, 5, 7, 15, 21, 35, 105
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,690,105,493, is 1.
Now, the common factors can be found like this.
323:17x 19
690:2x 3x 5x 23
105:3x 5x 7
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 11536865550/(1x255)
LCM = 11536865550/255
LCM = 45242610
Thus, we can understand that the LCM of 323,690,105,493 is 45242610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 690, 105, 493
1. What is the LCM of 323, 690, 105, 493?
Answer: LCM of 323, 690, 105, 493 is 45242610.
2. How to calculate the LCM of 323, 690, 105, 493?
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 323, 690, 105, 493.
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}.