LCM of 450, 986, 130, 822, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 450, 986, 130, 822, 214 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 450, 986, 130, 822, 214. So, keep reading to learn more.
Given numbers are 450,986,130,822,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 450,986,130,822,214 is 42277288950.
Find LCM of 450,986,130,822,214 with Prime Factorization
| 2 | 450, 986, 130, 822, 214 |
| 3 | 225, 493, 65, 411, 107 |
| 5 | 75, 493, 65, 137, 107 |
| 15, 493, 13, 137, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 15 x 493 x 13 x 137 x 107 = 42277288950
Therefore, the lowest common multiple of 450,986,130,822,214 is 42277288950.
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.
450 x 986 x 130 x 822 x 214 = 10146549348000
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.
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
986 : 1, 2, 17, 29, 34, 58, 493, 986
130 : 1, 2, 5, 10, 13, 26, 65, 130
822 : 1, 2, 3, 6, 137, 274, 411, 822
214 : 1, 2, 107, 214
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,986,130,822,214, is 2.
Now, the common factors can be found like this.
450:2x 3x 3x 5x 5
986:2x 17x 29
130:2x 5x 13
822:2x 3x 137
214:2x 107
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 5 = 120
Therefore, the value for common factors is 120.
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 = 10146549348000/(2x120)
LCM = 10146549348000/240
LCM = 42277288950
Thus, we can understand that the LCM of 450,986,130,822,214 is 42277288950.
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FAQs on LCM of 450, 986, 130, 822, 214
1. What is the LCM of 450, 986, 130, 822, 214?
Answer: LCM of 450, 986, 130, 822, 214 is 42277288950.
2. How to calculate the LCM of 450, 986, 130, 822, 214?
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 450, 986, 130, 822, 214.
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}.