LCM of 289, 808, 707, 490, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 808, 707, 490, 422 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 289, 808, 707, 490, 422. So, keep reading to learn more.
Given numbers are 289,808,707,490,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,808,707,490,422 is 12071402840.
Find LCM of 289,808,707,490,422 with Prime Factorization
| 2 | 289, 808, 707, 490, 422 |
| 7 | 289, 404, 707, 245, 211 |
| 101 | 289, 404, 101, 35, 211 |
| 289, 4, 1, 35, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 101 x 289 x 4 x 1 x 35 x 211 = 12071402840
Therefore, the lowest common multiple of 289,808,707,490,422 is 12071402840.
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.
289 x 808 x 707 x 490 x 422 = 34137927231520
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.
289 : 1, 17, 289
808 : 1, 2, 4, 8, 101, 202, 404, 808
707 : 1, 7, 101, 707
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,808,707,490,422, is 1.
Now, the common factors can be found like this.
289:17x 17
808:2x 2x 2x 101
707:7x 101
490:2x 5x 7x 7
422:2x 211
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 7x 101 = 2828
Therefore, the value for common factors is 2828.
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 = 34137927231520/(1x2828)
LCM = 34137927231520/2828
LCM = 12071402840
Thus, we can understand that the LCM of 289,808,707,490,422 is 12071402840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 289, 808, 707, 490, 422
1. What is the LCM of 289, 808, 707, 490, 422?
Answer: LCM of 289, 808, 707, 490, 422 is 12071402840.
2. How to calculate the LCM of 289, 808, 707, 490, 422?
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 289, 808, 707, 490, 422.
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}.