LCM of 253, 585, 552, 304, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 585, 552, 304, 858 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 253, 585, 552, 304, 858. So, keep reading to learn more.
Given numbers are 253,585,552,304,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,585,552,304,858 is 44993520.
Find LCM of 253,585,552,304,858 with Prime Factorization
| 2 | 253, 585, 552, 304, 858 |
| 2 | 253, 585, 276, 152, 429 |
| 2 | 253, 585, 138, 76, 429 |
| 3 | 253, 585, 69, 38, 429 |
| 11 | 253, 195, 23, 38, 143 |
| 13 | 23, 195, 23, 38, 13 |
| 23 | 23, 15, 23, 38, 1 |
| 1, 15, 1, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 23 x 1 x 15 x 1 x 38 x 1 = 44993520
Therefore, the lowest common multiple of 253,585,552,304,858 is 44993520.
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.
253 x 585 x 552 x 304 x 858 = 21309650968320
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.
253 : 1, 11, 23, 253
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,585,552,304,858, is 1.
Now, the common factors can be found like this.
253:11x 23
585:3x 3x 5x 13
552:2x 2x 2x 3x 23
304:2x 2x 2x 2x 19
858:2x 3x 11x 13
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 3x 3x 11x 13x 23 = 473616
Therefore, the value for common factors is 473616.
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 = 21309650968320/(1x473616)
LCM = 21309650968320/473616
LCM = 44993520
Thus, we can understand that the LCM of 253,585,552,304,858 is 44993520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 585, 552, 304, 858
1. What is the LCM of 253, 585, 552, 304, 858?
Answer: LCM of 253, 585, 552, 304, 858 is 44993520.
2. How to calculate the LCM of 253, 585, 552, 304, 858?
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 253, 585, 552, 304, 858.
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}.