LCM of 357, 330, 304, 409, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 330, 304, 409, 448 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, 330, 304, 409, 448. So, keep reading to learn more.
Given numbers are 357,330,304,409,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,330,304,409,448 is 9765349440.
Find LCM of 357,330,304,409,448 with Prime Factorization
| 2 | 357, 330, 304, 409, 448 |
| 2 | 357, 165, 152, 409, 224 |
| 2 | 357, 165, 76, 409, 112 |
| 2 | 357, 165, 38, 409, 56 |
| 3 | 357, 165, 19, 409, 28 |
| 7 | 119, 55, 19, 409, 28 |
| 17, 55, 19, 409, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 17 x 55 x 19 x 409 x 4 = 9765349440
Therefore, the lowest common multiple of 357,330,304,409,448 is 9765349440.
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 330 x 304 x 409 x 448 = 6562314823680
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
409 : 1, 409
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,330,304,409,448, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
330:2x 3x 5x 11
304:2x 2x 2x 2x 19
409:409
448:2x 2x 2x 2x 2x 2x 7
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 7 = 672
Therefore, the value for common factors is 672.
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 = 6562314823680/(1x672)
LCM = 6562314823680/672
LCM = 9765349440
Thus, we can understand that the LCM of 357,330,304,409,448 is 9765349440.
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FAQs on LCM of 357, 330, 304, 409, 448
1. What is the LCM of 357, 330, 304, 409, 448?
Answer: LCM of 357, 330, 304, 409, 448 is 9765349440.
2. How to calculate the LCM of 357, 330, 304, 409, 448?
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, 330, 304, 409, 448.
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}.