LCM of 565, 216, 200, 795, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 216, 200, 795, 501 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 565, 216, 200, 795, 501. So, keep reading to learn more.
Given numbers are 565,216,200,795,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,216,200,795,501 is 5400880200.
Find LCM of 565,216,200,795,501 with Prime Factorization
| 2 | 565, 216, 200, 795, 501 |
| 2 | 565, 108, 100, 795, 501 |
| 2 | 565, 54, 50, 795, 501 |
| 3 | 565, 27, 25, 795, 501 |
| 5 | 565, 9, 25, 265, 167 |
| 113, 9, 5, 53, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 113 x 9 x 5 x 53 x 167 = 5400880200
Therefore, the lowest common multiple of 565,216,200,795,501 is 5400880200.
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.
565 x 216 x 200 x 795 x 501 = 9721584360000
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.
565 : 1, 5, 113, 565
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
795 : 1, 3, 5, 15, 53, 159, 265, 795
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,216,200,795,501, is 1.
Now, the common factors can be found like this.
565:5x 113
216:2x 2x 2x 3x 3x 3
200:2x 2x 2x 5x 5
795:3x 5x 53
501:3x 167
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 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 9721584360000/(1x1800)
LCM = 9721584360000/1800
LCM = 5400880200
Thus, we can understand that the LCM of 565,216,200,795,501 is 5400880200.
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FAQs on LCM of 565, 216, 200, 795, 501
1. What is the LCM of 565, 216, 200, 795, 501?
Answer: LCM of 565, 216, 200, 795, 501 is 5400880200.
2. How to calculate the LCM of 565, 216, 200, 795, 501?
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 565, 216, 200, 795, 501.
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}.