Find the LCM of 273, 442, 689, 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 273, 442, 689, 493. So, keep reading to learn more.
Given numbers are 273,442,689,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,442,689,493 is 14266434.
Find LCM of 273,442,689,493 with Prime Factorization
13 | 273, 442, 689, 493 |
17 | 21, 34, 53, 493 |
21, 2, 53, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 21 x 2 x 53 x 29 = 14266434
Therefore, the lowest common multiple of 273,442,689,493 is 14266434.
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.
273 x 442 x 689 x 493 = 40987464882
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
442 : 1, 2, 13, 17, 26, 34, 221, 442
689 : 1, 13, 53, 689
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,442,689,493, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
442:2x 13x 17
689:13x 53
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.
13x 13x 17 = 2873
Therefore, the value for common factors is 2873.
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 = 40987464882/(1x2873)
LCM = 40987464882/2873
LCM = 14266434
Thus, we can understand that the LCM of 273,442,689,493 is 14266434.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 442, 689, 493?
Answer: LCM of 273, 442, 689, 493 is 14266434.
2. How to calculate the LCM of 273, 442, 689, 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 273, 442, 689, 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}.