LCM of 357, 865, 446, 320, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 865, 446, 320, 490 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, 865, 446, 320, 490. So, keep reading to learn more.
Given numbers are 357,865,446,320,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,865,446,320,490 is 30850854720.
Find LCM of 357,865,446,320,490 with Prime Factorization
| 2 | 357, 865, 446, 320, 490 |
| 5 | 357, 865, 223, 160, 245 |
| 7 | 357, 173, 223, 32, 49 |
| 51, 173, 223, 32, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 51 x 173 x 223 x 32 x 7 = 30850854720
Therefore, the lowest common multiple of 357,865,446,320,490 is 30850854720.
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 865 x 446 x 320 x 490 = 21595598304000
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
865 : 1, 5, 173, 865
446 : 1, 2, 223, 446
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,865,446,320,490, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
865:5x 173
446:2x 223
320:2x 2x 2x 2x 2x 2x 5
490:2x 5x 7x 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 5x 5x 7 = 700
Therefore, the value for common factors is 700.
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 = 21595598304000/(1x700)
LCM = 21595598304000/700
LCM = 30850854720
Thus, we can understand that the LCM of 357,865,446,320,490 is 30850854720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 357, 865, 446, 320, 490
1. What is the LCM of 357, 865, 446, 320, 490?
Answer: LCM of 357, 865, 446, 320, 490 is 30850854720.
2. How to calculate the LCM of 357, 865, 446, 320, 490?
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, 865, 446, 320, 490.
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}.