LCM of 284, 253, 621, 929, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 253, 621, 929, 396 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 284, 253, 621, 929, 396. So, keep reading to learn more.
Given numbers are 284,253,621,929,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,253,621,929,396 is 1802263716.
Find LCM of 284,253,621,929,396 with Prime Factorization
| 2 | 284, 253, 621, 929, 396 |
| 2 | 142, 253, 621, 929, 198 |
| 3 | 71, 253, 621, 929, 99 |
| 3 | 71, 253, 207, 929, 33 |
| 11 | 71, 253, 69, 929, 11 |
| 23 | 71, 23, 69, 929, 1 |
| 71, 1, 3, 929, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 23 x 71 x 1 x 3 x 929 x 1 = 1802263716
Therefore, the lowest common multiple of 284,253,621,929,396 is 1802263716.
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.
284 x 253 x 621 x 929 x 396 = 16415017925328
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.
284 : 1, 2, 4, 71, 142, 284
253 : 1, 11, 23, 253
621 : 1, 3, 9, 23, 27, 69, 207, 621
929 : 1, 929
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,253,621,929,396, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
253:11x 23
621:3x 3x 3x 23
929:929
396:2x 2x 3x 3x 11
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 3x 3x 11x 23 = 9108
Therefore, the value for common factors is 9108.
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 = 16415017925328/(1x9108)
LCM = 16415017925328/9108
LCM = 1802263716
Thus, we can understand that the LCM of 284,253,621,929,396 is 1802263716.
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FAQs on LCM of 284, 253, 621, 929, 396
1. What is the LCM of 284, 253, 621, 929, 396?
Answer: LCM of 284, 253, 621, 929, 396 is 1802263716.
2. How to calculate the LCM of 284, 253, 621, 929, 396?
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 284, 253, 621, 929, 396.
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}.