Find the LCM of 901, 793, 689, 967, 400 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 901, 793, 689, 967, 400. So, keep reading to learn more.
Given numbers are 901,793,689,967,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,793,689,967,400 is 276365892400.
Find LCM of 901,793,689,967,400 with Prime Factorization
13 | 901, 793, 689, 967, 400 |
53 | 901, 61, 53, 967, 400 |
17, 61, 1, 967, 400 |
Multiply the prime numbers at the bottom and the left side.
13 x 53 x 17 x 61 x 1 x 967 x 400 = 276365892400
Therefore, the lowest common multiple of 901,793,689,967,400 is 276365892400.
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.
901 x 793 x 689 x 967 x 400 = 190416099863600
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.
901 : 1, 17, 53, 901
793 : 1, 13, 61, 793
689 : 1, 13, 53, 689
967 : 1, 967
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,793,689,967,400, is 1.
Now, the common factors can be found like this.
901:17x 53
793:13x 61
689:13x 53
967:967
400:2x 2x 2x 2x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 53 = 689
Therefore, the value for common factors is 689.
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 = 190416099863600/(1x689)
LCM = 190416099863600/689
LCM = 276365892400
Thus, we can understand that the LCM of 901,793,689,967,400 is 276365892400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 793, 689, 967, 400?
Answer: LCM of 901, 793, 689, 967, 400 is 276365892400.
2. How to calculate the LCM of 901, 793, 689, 967, 400?
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 901, 793, 689, 967, 400.
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}.