Find the LCM of 273, 638, 385, 687, 572 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, 638, 385, 687, 572. So, keep reading to learn more.
Given numbers are 273,638,385,687,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,638,385,687,572 is 398858460.
Find LCM of 273,638,385,687,572 with Prime Factorization
2 | 273, 638, 385, 687, 572 |
3 | 273, 319, 385, 687, 286 |
7 | 91, 319, 385, 229, 286 |
11 | 13, 319, 55, 229, 286 |
13 | 13, 29, 5, 229, 26 |
1, 29, 5, 229, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 1 x 29 x 5 x 229 x 2 = 398858460
Therefore, the lowest common multiple of 273,638,385,687,572 is 398858460.
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 638 x 385 x 687 x 572 = 26350983018360
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
385 : 1, 5, 7, 11, 35, 55, 77, 385
687 : 1, 3, 229, 687
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,638,385,687,572, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
638:2x 11x 29
385:5x 7x 11
687:3x 229
572:2x 2x 11x 13
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 7x 11x 11x 13 = 66066
Therefore, the value for common factors is 66066.
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 = 26350983018360/(1x66066)
LCM = 26350983018360/66066
LCM = 398858460
Thus, we can understand that the LCM of 273,638,385,687,572 is 398858460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 638, 385, 687, 572?
Answer: LCM of 273, 638, 385, 687, 572 is 398858460.
2. How to calculate the LCM of 273, 638, 385, 687, 572?
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, 638, 385, 687, 572.
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}.