Find the LCM of 273, 916, 578, 169, 799 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, 916, 578, 169, 799. So, keep reading to learn more.
Given numbers are 273,916,578,169,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,916,578,169,799 is 44156757372.
Find LCM of 273,916,578,169,799 with Prime Factorization
2 | 273, 916, 578, 169, 799 |
13 | 273, 458, 289, 169, 799 |
17 | 21, 458, 289, 13, 799 |
21, 458, 17, 13, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 21 x 458 x 17 x 13 x 47 = 44156757372
Therefore, the lowest common multiple of 273,916,578,169,799 is 44156757372.
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 916 x 578 x 169 x 799 = 19517286758424
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
916 : 1, 2, 4, 229, 458, 916
578 : 1, 2, 17, 34, 289, 578
169 : 1, 13, 169
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,916,578,169,799, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
916:2x 2x 229
578:2x 17x 17
169:13x 13
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 19517286758424/(1x442)
LCM = 19517286758424/442
LCM = 44156757372
Thus, we can understand that the LCM of 273,916,578,169,799 is 44156757372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 916, 578, 169, 799?
Answer: LCM of 273, 916, 578, 169, 799 is 44156757372.
2. How to calculate the LCM of 273, 916, 578, 169, 799?
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, 916, 578, 169, 799.
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}.