LCM of 835, 369, 320, 205, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 369, 320, 205, 501 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 835, 369, 320, 205, 501. So, keep reading to learn more.
Given numbers are 835,369,320,205,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,369,320,205,501 is 19719360.
Find LCM of 835,369,320,205,501 with Prime Factorization
| 3 | 835, 369, 320, 205, 501 |
| 5 | 835, 123, 320, 205, 167 |
| 41 | 167, 123, 64, 41, 167 |
| 167 | 167, 3, 64, 1, 167 |
| 1, 3, 64, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 41 x 167 x 1 x 3 x 64 x 1 x 1 = 19719360
Therefore, the lowest common multiple of 835,369,320,205,501 is 19719360.
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.
835 x 369 x 320 x 205 x 501 = 10126384344000
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.
835 : 1, 5, 167, 835
369 : 1, 3, 9, 41, 123, 369
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
205 : 1, 5, 41, 205
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,369,320,205,501, is 1.
Now, the common factors can be found like this.
835:5x 167
369:3x 3x 41
320:2x 2x 2x 2x 2x 2x 5
205:5x 41
501:3x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 41x 167 = 513525
Therefore, the value for common factors is 513525.
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 = 10126384344000/(1x513525)
LCM = 10126384344000/513525
LCM = 19719360
Thus, we can understand that the LCM of 835,369,320,205,501 is 19719360.
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FAQs on LCM of 835, 369, 320, 205, 501
1. What is the LCM of 835, 369, 320, 205, 501?
Answer: LCM of 835, 369, 320, 205, 501 is 19719360.
2. How to calculate the LCM of 835, 369, 320, 205, 501?
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 835, 369, 320, 205, 501.
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}.