LCM of 705, 286, 423, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 286, 423, 288 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 705, 286, 423, 288. So, keep reading to learn more.
Given numbers are 705,286,423,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,286,423,288 is 9678240.
Find LCM of 705,286,423,288 with Prime Factorization
| 2 | 705, 286, 423, 288 |
| 3 | 705, 143, 423, 144 |
| 3 | 235, 143, 141, 48 |
| 47 | 235, 143, 47, 16 |
| 5, 143, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 5 x 143 x 1 x 16 = 9678240
Therefore, the lowest common multiple of 705,286,423,288 is 9678240.
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.
705 x 286 x 423 x 288 = 24563373120
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
286 : 1, 2, 11, 13, 22, 26, 143, 286
423 : 1, 3, 9, 47, 141, 423
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,286,423,288, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
286:2x 11x 13
423:3x 3x 47
288:2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 47 = 2538
Therefore, the value for common factors is 2538.
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 = 24563373120/(1x2538)
LCM = 24563373120/2538
LCM = 9678240
Thus, we can understand that the LCM of 705,286,423,288 is 9678240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 286, 423, 288
1. What is the LCM of 705, 286, 423, 288?
Answer: LCM of 705, 286, 423, 288 is 9678240.
2. How to calculate the LCM of 705, 286, 423, 288?
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 705, 286, 423, 288.
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}.