LCM of 900, 258, 253, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 258, 253, 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 900, 258, 253, 396. So, keep reading to learn more.
Given numbers are 900,258,253,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,258,253,396 is 9791100.
Find LCM of 900,258,253,396 with Prime Factorization
| 2 | 900, 258, 253, 396 |
| 2 | 450, 129, 253, 198 |
| 3 | 225, 129, 253, 99 |
| 3 | 75, 43, 253, 33 |
| 11 | 25, 43, 253, 11 |
| 25, 43, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 25 x 43 x 23 x 1 = 9791100
Therefore, the lowest common multiple of 900,258,253,396 is 9791100.
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.
900 x 258 x 253 x 396 = 23263653600
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
258 : 1, 2, 3, 6, 43, 86, 129, 258
253 : 1, 11, 23, 253
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 900,258,253,396, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
258:2x 3x 43
253:11x 23
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 2x 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 23263653600/(1x2376)
LCM = 23263653600/2376
LCM = 9791100
Thus, we can understand that the LCM of 900,258,253,396 is 9791100.
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FAQs on LCM of 900, 258, 253, 396
1. What is the LCM of 900, 258, 253, 396?
Answer: LCM of 900, 258, 253, 396 is 9791100.
2. How to calculate the LCM of 900, 258, 253, 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 900, 258, 253, 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}.