LCM of 564, 780, 200, 567, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 780, 200, 567, 813 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, 780, 200, 567, 813. So, keep reading to learn more.
Given numbers are 564,780,200,567,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,780,200,567,813 is 18776885400.
Find LCM of 564,780,200,567,813 with Prime Factorization
| 2 | 564, 780, 200, 567, 813 |
| 2 | 282, 390, 100, 567, 813 |
| 3 | 141, 195, 50, 567, 813 |
| 5 | 47, 65, 50, 189, 271 |
| 47, 13, 10, 189, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 13 x 10 x 189 x 271 = 18776885400
Therefore, the lowest common multiple of 564,780,200,567,813 is 18776885400.
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 780 x 200 x 567 x 813 = 40558072464000
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
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,780,200,567,813, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
780:2x 2x 3x 5x 13
200:2x 2x 2x 5x 5
567:3x 3x 3x 3x 7
813:3x 271
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 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 40558072464000/(1x2160)
LCM = 40558072464000/2160
LCM = 18776885400
Thus, we can understand that the LCM of 564,780,200,567,813 is 18776885400.
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FAQs on LCM of 564, 780, 200, 567, 813
1. What is the LCM of 564, 780, 200, 567, 813?
Answer: LCM of 564, 780, 200, 567, 813 is 18776885400.
2. How to calculate the LCM of 564, 780, 200, 567, 813?
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, 780, 200, 567, 813.
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}.