Find the LCM of 567, 858, 533, 800, 280 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 567, 858, 533, 800, 280. So, keep reading to learn more.
Given numbers are 567,858,533,800,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,858,533,800,280 is 2659456800.
Find LCM of 567,858,533,800,280 with Prime Factorization
2 | 567, 858, 533, 800, 280 |
2 | 567, 429, 533, 400, 140 |
2 | 567, 429, 533, 200, 70 |
3 | 567, 429, 533, 100, 35 |
5 | 189, 143, 533, 100, 35 |
7 | 189, 143, 533, 20, 7 |
13 | 27, 143, 533, 20, 1 |
27, 11, 41, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 13 x 27 x 11 x 41 x 20 x 1 = 2659456800
Therefore, the lowest common multiple of 567,858,533,800,280 is 2659456800.
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.
567 x 858 x 533 x 800 x 280 = 58082536512000
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
533 : 1, 13, 41, 533
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,858,533,800,280, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
858:2x 3x 11x 13
533:13x 41
800:2x 2x 2x 2x 2x 5x 5
280:2x 2x 2x 5x 7
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 3x 5x 7x 13 = 21840
Therefore, the value for common factors is 21840.
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 = 58082536512000/(1x21840)
LCM = 58082536512000/21840
LCM = 2659456800
Thus, we can understand that the LCM of 567,858,533,800,280 is 2659456800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 858, 533, 800, 280?
Answer: LCM of 567, 858, 533, 800, 280 is 2659456800.
2. How to calculate the LCM of 567, 858, 533, 800, 280?
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 567, 858, 533, 800, 280.
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}.