LCM of 493, 476, 363, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 476, 363, 902 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, 476, 363, 902. So, keep reading to learn more.
Given numbers are 493,476,363,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,476,363,902 is 205444932.
Find LCM of 493,476,363,902 with Prime Factorization
| 2 | 493, 476, 363, 902 |
| 11 | 493, 238, 363, 451 |
| 17 | 493, 238, 33, 41 |
| 29, 14, 33, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 29 x 14 x 33 x 41 = 205444932
Therefore, the lowest common multiple of 493,476,363,902 is 205444932.
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 476 x 363 x 902 = 76836404568
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
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
363 : 1, 3, 11, 33, 121, 363
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,476,363,902, is 1.
Now, the common factors can be found like this.
493:17x 29
476:2x 2x 7x 17
363:3x 11x 11
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 17 = 374
Therefore, the value for common factors is 374.
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 = 76836404568/(1x374)
LCM = 76836404568/374
LCM = 205444932
Thus, we can understand that the LCM of 493,476,363,902 is 205444932.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 493, 476, 363, 902
1. What is the LCM of 493, 476, 363, 902?
Answer: LCM of 493, 476, 363, 902 is 205444932.
2. How to calculate the LCM of 493, 476, 363, 902?
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, 476, 363, 902.
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}.