Find the LCM of 967, 901, 780, 442, 404 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 967, 901, 780, 442, 404. So, keep reading to learn more.
Given numbers are 967,901,780,442,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,901,780,442,404 is 68638414260.
Find LCM of 967,901,780,442,404 with Prime Factorization
2 | 967, 901, 780, 442, 404 |
2 | 967, 901, 390, 221, 202 |
13 | 967, 901, 195, 221, 101 |
17 | 967, 901, 15, 17, 101 |
967, 53, 15, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 967 x 53 x 15 x 1 x 101 = 68638414260
Therefore, the lowest common multiple of 967,901,780,442,404 is 68638414260.
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.
967 x 901 x 780 x 442 x 404 = 121352716411680
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.
967 : 1, 967
901 : 1, 17, 53, 901
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
442 : 1, 2, 13, 17, 26, 34, 221, 442
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,901,780,442,404, is 1.
Now, the common factors can be found like this.
967:967
901:17x 53
780:2x 2x 3x 5x 13
442:2x 13x 17
404:2x 2x 101
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 2x 13x 17 = 1768
Therefore, the value for common factors is 1768.
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 = 121352716411680/(1x1768)
LCM = 121352716411680/1768
LCM = 68638414260
Thus, we can understand that the LCM of 967,901,780,442,404 is 68638414260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 901, 780, 442, 404?
Answer: LCM of 967, 901, 780, 442, 404 is 68638414260.
2. How to calculate the LCM of 967, 901, 780, 442, 404?
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 967, 901, 780, 442, 404.
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}.