LCM of 209, 828, 368, 483, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 828, 368, 483, 433 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 209, 828, 368, 483, 433. So, keep reading to learn more.
Given numbers are 209,828,368,483,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,828,368,483,433 is 2098082448.
Find LCM of 209,828,368,483,433 with Prime Factorization
| 2 | 209, 828, 368, 483, 433 |
| 2 | 209, 414, 184, 483, 433 |
| 3 | 209, 207, 92, 483, 433 |
| 23 | 209, 69, 92, 161, 433 |
| 209, 3, 4, 7, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 209 x 3 x 4 x 7 x 433 = 2098082448
Therefore, the lowest common multiple of 209,828,368,483,433 is 2098082448.
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.
209 x 828 x 368 x 483 x 433 = 13318627379904
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.
209 : 1, 11, 19, 209
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
483 : 1, 3, 7, 21, 23, 69, 161, 483
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,828,368,483,433, is 1.
Now, the common factors can be found like this.
209:11x 19
828:2x 2x 3x 3x 23
368:2x 2x 2x 2x 23
483:3x 7x 23
433:433
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 3x 23x 23 = 6348
Therefore, the value for common factors is 6348.
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 = 13318627379904/(1x6348)
LCM = 13318627379904/6348
LCM = 2098082448
Thus, we can understand that the LCM of 209,828,368,483,433 is 2098082448.
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FAQs on LCM of 209, 828, 368, 483, 433
1. What is the LCM of 209, 828, 368, 483, 433?
Answer: LCM of 209, 828, 368, 483, 433 is 2098082448.
2. How to calculate the LCM of 209, 828, 368, 483, 433?
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 209, 828, 368, 483, 433.
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}.