Find the LCM of 564, 349, 992, 352, 684 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 564, 349, 992, 352, 684. So, keep reading to learn more.
Given numbers are 564,349,992,352,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,349,992,352,684 is 30607210656.
Find LCM of 564,349,992,352,684 with Prime Factorization
2 | 564, 349, 992, 352, 684 |
2 | 282, 349, 496, 176, 342 |
2 | 141, 349, 248, 88, 171 |
2 | 141, 349, 124, 44, 171 |
2 | 141, 349, 62, 22, 171 |
3 | 141, 349, 31, 11, 171 |
47, 349, 31, 11, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 47 x 349 x 31 x 11 x 57 = 30607210656
Therefore, the lowest common multiple of 564,349,992,352,684 is 30607210656.
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.
564 x 349 x 992 x 352 x 684 = 47012675567616
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
349 : 1, 349
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,349,992,352,684, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
349:349
992:2x 2x 2x 2x 2x 31
352:2x 2x 2x 2x 2x 11
684:2x 2x 3x 3x 19
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 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 47012675567616/(1x1536)
LCM = 47012675567616/1536
LCM = 30607210656
Thus, we can understand that the LCM of 564,349,992,352,684 is 30607210656.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 349, 992, 352, 684?
Answer: LCM of 564, 349, 992, 352, 684 is 30607210656.
2. How to calculate the LCM of 564, 349, 992, 352, 684?
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 564, 349, 992, 352, 684.
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}.