Find the LCM of 104, 794, 358, 188, 564 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 104, 794, 358, 188, 564. So, keep reading to learn more.
Given numbers are 104,794,358,188,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,794,358,188,564 is 1042067832.
Find LCM of 104,794,358,188,564 with Prime Factorization
2 | 104, 794, 358, 188, 564 |
2 | 52, 397, 179, 94, 282 |
47 | 26, 397, 179, 47, 141 |
26, 397, 179, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 26 x 397 x 179 x 1 x 3 = 1042067832
Therefore, the lowest common multiple of 104,794,358,188,564 is 1042067832.
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.
104 x 794 x 358 x 188 x 564 = 3134540038656
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
794 : 1, 2, 397, 794
358 : 1, 2, 179, 358
188 : 1, 2, 4, 47, 94, 188
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,794,358,188,564, is 2.
Now, the common factors can be found like this.
104:2x 2x 2x 13
794:2x 397
358:2x 179
188:2x 2x 47
564:2x 2x 3x 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 2x 2x 2x 2x 47 = 1504
Therefore, the value for common factors is 1504.
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 = 3134540038656/(2x1504)
LCM = 3134540038656/3008
LCM = 1042067832
Thus, we can understand that the LCM of 104,794,358,188,564 is 1042067832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 794, 358, 188, 564?
Answer: LCM of 104, 794, 358, 188, 564 is 1042067832.
2. How to calculate the LCM of 104, 794, 358, 188, 564?
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 104, 794, 358, 188, 564.
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}.