LCM of 351, 342, 270, 418, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 351, 342, 270, 418, 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 351, 342, 270, 418, 396. So, keep reading to learn more.
Given numbers are 351,342,270,418,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 351,342,270,418,396 is 1467180.
Find LCM of 351,342,270,418,396 with Prime Factorization
| 2 | 351, 342, 270, 418, 396 |
| 3 | 351, 171, 135, 209, 198 |
| 3 | 117, 57, 45, 209, 66 |
| 3 | 39, 19, 15, 209, 22 |
| 11 | 13, 19, 5, 209, 22 |
| 19 | 13, 19, 5, 19, 2 |
| 13, 1, 5, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 19 x 13 x 1 x 5 x 1 x 2 = 1467180
Therefore, the lowest common multiple of 351,342,270,418,396 is 1467180.
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.
351 x 342 x 270 x 418 x 396 = 5364984287520
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.
351 : 1, 3, 9, 13, 27, 39, 117, 351
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 351,342,270,418,396, is 1.
Now, the common factors can be found like this.
351:3x 3x 3x 13
342:2x 3x 3x 19
270:2x 3x 3x 3x 5
418:2x 11x 19
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 3x 3x 3x 3x 11x 19 = 3656664
Therefore, the value for common factors is 3656664.
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 = 5364984287520/(1x3656664)
LCM = 5364984287520/3656664
LCM = 1467180
Thus, we can understand that the LCM of 351,342,270,418,396 is 1467180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 351, 342, 270, 418, 396
1. What is the LCM of 351, 342, 270, 418, 396?
Answer: LCM of 351, 342, 270, 418, 396 is 1467180.
2. How to calculate the LCM of 351, 342, 270, 418, 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 351, 342, 270, 418, 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}.