LCM of 493, 141, 446, 869, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 141, 446, 869, 399 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, 141, 446, 869, 399. So, keep reading to learn more.
Given numbers are 493,141,446,869,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,141,446,869,399 is 3583210384446.
Find LCM of 493,141,446,869,399 with Prime Factorization
| 3 | 493, 141, 446, 869, 399 |
| 493, 47, 446, 869, 133 |
Multiply the prime numbers at the bottom and the left side.
3 x 493 x 47 x 446 x 869 x 133 = 3583210384446
Therefore, the lowest common multiple of 493,141,446,869,399 is 3583210384446.
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 141 x 446 x 869 x 399 = 10749631153338
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
141 : 1, 3, 47, 141
446 : 1, 2, 223, 446
869 : 1, 11, 79, 869
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,141,446,869,399, is 1.
Now, the common factors can be found like this.
493:17x 29
141:3x 47
446:2x 223
869:11x 79
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 10749631153338/(1x3)
LCM = 10749631153338/3
LCM = 3583210384446
Thus, we can understand that the LCM of 493,141,446,869,399 is 3583210384446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 141, 446, 869, 399
1. What is the LCM of 493, 141, 446, 869, 399?
Answer: LCM of 493, 141, 446, 869, 399 is 3583210384446.
2. How to calculate the LCM of 493, 141, 446, 869, 399?
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, 141, 446, 869, 399.
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}.