Find the LCM of 352, 385, 304, 779, 584 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 352, 385, 304, 779, 584. So, keep reading to learn more.
Given numbers are 352,385,304,779,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,385,304,779,584 is 700601440.
Find LCM of 352,385,304,779,584 with Prime Factorization
2 | 352, 385, 304, 779, 584 |
2 | 176, 385, 152, 779, 292 |
2 | 88, 385, 76, 779, 146 |
2 | 44, 385, 38, 779, 73 |
11 | 22, 385, 19, 779, 73 |
19 | 2, 35, 19, 779, 73 |
2, 35, 1, 41, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 19 x 2 x 35 x 1 x 41 x 73 = 700601440
Therefore, the lowest common multiple of 352,385,304,779,584 is 700601440.
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.
352 x 385 x 304 x 779 x 584 = 18742489722880
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
385 : 1, 5, 7, 11, 35, 55, 77, 385
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
779 : 1, 19, 41, 779
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,385,304,779,584, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
385:5x 7x 11
304:2x 2x 2x 2x 19
779:19x 41
584:2x 2x 2x 73
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 2x 2x 2x 2x 11x 19 = 26752
Therefore, the value for common factors is 26752.
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 = 18742489722880/(1x26752)
LCM = 18742489722880/26752
LCM = 700601440
Thus, we can understand that the LCM of 352,385,304,779,584 is 700601440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 352, 385, 304, 779, 584?
Answer: LCM of 352, 385, 304, 779, 584 is 700601440.
2. How to calculate the LCM of 352, 385, 304, 779, 584?
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 352, 385, 304, 779, 584.
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}.