Find the LCM of 564, 660, 561, 286 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, 660, 561, 286. So, keep reading to learn more.
Given numbers are 564,660,561,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,660,561,286 is 6855420.
Find LCM of 564,660,561,286 with Prime Factorization
2 | 564, 660, 561, 286 |
2 | 282, 330, 561, 143 |
3 | 141, 165, 561, 143 |
11 | 47, 55, 187, 143 |
47, 5, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 5 x 17 x 13 = 6855420
Therefore, the lowest common multiple of 564,660,561,286 is 6855420.
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 660 x 561 x 286 = 59724419040
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
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
561 : 1, 3, 11, 17, 33, 51, 187, 561
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,660,561,286, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
660:2x 2x 3x 5x 11
561:3x 11x 17
286:2x 11x 13
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 3x 3x 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 59724419040/(1x8712)
LCM = 59724419040/8712
LCM = 6855420
Thus, we can understand that the LCM of 564,660,561,286 is 6855420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 660, 561, 286?
Answer: LCM of 564, 660, 561, 286 is 6855420.
2. How to calculate the LCM of 564, 660, 561, 286?
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, 660, 561, 286.
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}.