LCM of 200, 407, 580, 987, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 200, 407, 580, 987, 648 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, 407, 580, 987, 648. So, keep reading to learn more.
Given numbers are 200,407,580,987,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 200,407,580,987,648 is 62907629400.
Find LCM of 200,407,580,987,648 with Prime Factorization
| 2 | 200, 407, 580, 987, 648 |
| 2 | 100, 407, 290, 987, 324 |
| 2 | 50, 407, 145, 987, 162 |
| 3 | 25, 407, 145, 987, 81 |
| 5 | 25, 407, 145, 329, 27 |
| 5, 407, 29, 329, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 407 x 29 x 329 x 27 = 62907629400
Therefore, the lowest common multiple of 200,407,580,987,648 is 62907629400.
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 407 x 580 x 987 x 648 = 30195662112000
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
407 : 1, 11, 37, 407
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
987 : 1, 3, 7, 21, 47, 141, 329, 987
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,407,580,987,648, is 1.
Now, the common factors can be found like this.
200:2x 2x 2x 5x 5
407:11x 37
580:2x 2x 5x 29
987:3x 7x 47
648:2x 2x 2x 3x 3x 3x 3
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 30195662112000/(1x480)
LCM = 30195662112000/480
LCM = 62907629400
Thus, we can understand that the LCM of 200,407,580,987,648 is 62907629400.
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FAQs on LCM of 200, 407, 580, 987, 648
1. What is the LCM of 200, 407, 580, 987, 648?
Answer: LCM of 200, 407, 580, 987, 648 is 62907629400.
2. How to calculate the LCM of 200, 407, 580, 987, 648?
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, 407, 580, 987, 648.
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}.