Find the LCM of 954, 338, 406, 689, 775 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 954, 338, 406, 689, 775. So, keep reading to learn more.
Given numbers are 954,338,406,689,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,338,406,689,775 is 25364880450.
Find LCM of 954,338,406,689,775 with Prime Factorization
2 | 954, 338, 406, 689, 775 |
13 | 477, 169, 203, 689, 775 |
53 | 477, 13, 203, 53, 775 |
9, 13, 203, 1, 775 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 53 x 9 x 13 x 203 x 1 x 775 = 25364880450
Therefore, the lowest common multiple of 954,338,406,689,775 is 25364880450.
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.
954 x 338 x 406 x 689 x 775 = 69905610520200
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
338 : 1, 2, 13, 26, 169, 338
406 : 1, 2, 7, 14, 29, 58, 203, 406
689 : 1, 13, 53, 689
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,338,406,689,775, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
338:2x 13x 13
406:2x 7x 29
689:13x 53
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 13x 53 = 2756
Therefore, the value for common factors is 2756.
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 = 69905610520200/(1x2756)
LCM = 69905610520200/2756
LCM = 25364880450
Thus, we can understand that the LCM of 954,338,406,689,775 is 25364880450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 954, 338, 406, 689, 775?
Answer: LCM of 954, 338, 406, 689, 775 is 25364880450.
2. How to calculate the LCM of 954, 338, 406, 689, 775?
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 954, 338, 406, 689, 775.
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}.