LCM of 297, 442, 423, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 442, 423, 286 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 297, 442, 423, 286. So, keep reading to learn more.
Given numbers are 297,442,423,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,442,423,286 is 6169878.
Find LCM of 297,442,423,286 with Prime Factorization
| 2 | 297, 442, 423, 286 |
| 3 | 297, 221, 423, 143 |
| 3 | 99, 221, 141, 143 |
| 11 | 33, 221, 47, 143 |
| 13 | 3, 221, 47, 13 |
| 3, 17, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 3 x 17 x 47 x 1 = 6169878
Therefore, the lowest common multiple of 297,442,423,286 is 6169878.
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.
297 x 442 x 423 x 286 = 15881265972
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
442 : 1, 2, 13, 17, 26, 34, 221, 442
423 : 1, 3, 9, 47, 141, 423
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,442,423,286, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
442:2x 13x 17
423:3x 3x 47
286:2x 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 3x 3x 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 15881265972/(1x2574)
LCM = 15881265972/2574
LCM = 6169878
Thus, we can understand that the LCM of 297,442,423,286 is 6169878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 442, 423, 286
1. What is the LCM of 297, 442, 423, 286?
Answer: LCM of 297, 442, 423, 286 is 6169878.
2. How to calculate the LCM of 297, 442, 423, 286?
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 297, 442, 423, 286.
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}.