LCM of 200, 564, 854, 407, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 564, 854, 407, 201 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 200, 564, 854, 407, 201. So, keep reading to learn more.
Given numbers are 200,564,854,407,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,564,854,407,201 is 328356936600.
Find LCM of 200,564,854,407,201 with Prime Factorization
| 2 | 200, 564, 854, 407, 201 |
| 2 | 100, 282, 427, 407, 201 |
| 3 | 50, 141, 427, 407, 201 |
| 50, 47, 427, 407, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 50 x 47 x 427 x 407 x 67 = 328356936600
Therefore, the lowest common multiple of 200,564,854,407,201 is 328356936600.
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.
200 x 564 x 854 x 407 x 201 = 7880566478400
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.
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
854 : 1, 2, 7, 14, 61, 122, 427, 854
407 : 1, 11, 37, 407
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,564,854,407,201, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
564:2x 2x 3x 47
854:2x 7x 61
407:11x 37
201:3x 67
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 3 = 24
Therefore, the value for common factors is 24.
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 = 7880566478400/(1x24)
LCM = 7880566478400/24
LCM = 328356936600
Thus, we can understand that the LCM of 200,564,854,407,201 is 328356936600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 200, 564, 854, 407, 201
1. What is the LCM of 200, 564, 854, 407, 201?
Answer: LCM of 200, 564, 854, 407, 201 is 328356936600.
2. How to calculate the LCM of 200, 564, 854, 407, 201?
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 200, 564, 854, 407, 201.
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}.