LCM of 357, 438, 478, 510, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 438, 478, 510, 390 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 357, 438, 478, 510, 390. So, keep reading to learn more.
Given numbers are 357,438,478,510,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,438,478,510,390 is 809715270.
Find LCM of 357,438,478,510,390 with Prime Factorization
| 2 | 357, 438, 478, 510, 390 |
| 3 | 357, 219, 239, 255, 195 |
| 5 | 119, 73, 239, 85, 65 |
| 17 | 119, 73, 239, 17, 13 |
| 7, 73, 239, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 7 x 73 x 239 x 1 x 13 = 809715270
Therefore, the lowest common multiple of 357,438,478,510,390 is 809715270.
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.
357 x 438 x 478 x 510 x 390 = 14866372357200
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
438 : 1, 2, 3, 6, 73, 146, 219, 438
478 : 1, 2, 239, 478
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,438,478,510,390, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
438:2x 3x 73
478:2x 239
510:2x 3x 5x 17
390:2x 3x 5x 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 3x 3x 3x 5x 17 = 18360
Therefore, the value for common factors is 18360.
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 = 14866372357200/(1x18360)
LCM = 14866372357200/18360
LCM = 809715270
Thus, we can understand that the LCM of 357,438,478,510,390 is 809715270.
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FAQs on LCM of 357, 438, 478, 510, 390
1. What is the LCM of 357, 438, 478, 510, 390?
Answer: LCM of 357, 438, 478, 510, 390 is 809715270.
2. How to calculate the LCM of 357, 438, 478, 510, 390?
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 357, 438, 478, 510, 390.
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}.