LCM of 546, 352, 120, 339, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 352, 120, 339, 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 546, 352, 120, 339, 286. So, keep reading to learn more.
Given numbers are 546,352,120,339,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,352,120,339,286 is 54294240.
Find LCM of 546,352,120,339,286 with Prime Factorization
| 2 | 546, 352, 120, 339, 286 |
| 2 | 273, 176, 60, 339, 143 |
| 2 | 273, 88, 30, 339, 143 |
| 3 | 273, 44, 15, 339, 143 |
| 11 | 91, 44, 5, 113, 143 |
| 13 | 91, 4, 5, 113, 13 |
| 7, 4, 5, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 7 x 4 x 5 x 113 x 1 = 54294240
Therefore, the lowest common multiple of 546,352,120,339,286 is 54294240.
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.
546 x 352 x 120 x 339 x 286 = 2236053980160
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
339 : 1, 3, 113, 339
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 546,352,120,339,286, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
352:2x 2x 2x 2x 2x 11
120:2x 2x 2x 3x 5
339:3x 113
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 2x 2x 2x 2x 3x 3x 11x 13 = 41184
Therefore, the value for common factors is 41184.
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 = 2236053980160/(1x41184)
LCM = 2236053980160/41184
LCM = 54294240
Thus, we can understand that the LCM of 546,352,120,339,286 is 54294240.
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FAQs on LCM of 546, 352, 120, 339, 286
1. What is the LCM of 546, 352, 120, 339, 286?
Answer: LCM of 546, 352, 120, 339, 286 is 54294240.
2. How to calculate the LCM of 546, 352, 120, 339, 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 546, 352, 120, 339, 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}.