LCM of 308, 396, 360, 486, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 396, 360, 486, 407 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 308, 396, 360, 486, 407. So, keep reading to learn more.
Given numbers are 308,396,360,486,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,396,360,486,407 is 27692280.
Find LCM of 308,396,360,486,407 with Prime Factorization
| 2 | 308, 396, 360, 486, 407 |
| 2 | 154, 198, 180, 243, 407 |
| 3 | 77, 99, 90, 243, 407 |
| 3 | 77, 33, 30, 81, 407 |
| 11 | 77, 11, 10, 27, 407 |
| 7, 1, 10, 27, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 7 x 1 x 10 x 27 x 37 = 27692280
Therefore, the lowest common multiple of 308,396,360,486,407 is 27692280.
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.
308 x 396 x 360 x 486 x 407 = 8685185160960
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,396,360,486,407, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
396:2x 2x 3x 3x 11
360:2x 2x 2x 3x 3x 5
486:2x 3x 3x 3x 3x 3
407:11x 37
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 3x 3x 11x 11 = 313632
Therefore, the value for common factors is 313632.
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 = 8685185160960/(1x313632)
LCM = 8685185160960/313632
LCM = 27692280
Thus, we can understand that the LCM of 308,396,360,486,407 is 27692280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 396, 360, 486, 407
1. What is the LCM of 308, 396, 360, 486, 407?
Answer: LCM of 308, 396, 360, 486, 407 is 27692280.
2. How to calculate the LCM of 308, 396, 360, 486, 407?
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 308, 396, 360, 486, 407.
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}.