LCM of 483, 371, 885, 322, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 483, 371, 885, 322, 901 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 483, 371, 885, 322, 901. So, keep reading to learn more.
Given numbers are 483,371,885,322,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 483,371,885,322,901 is 256757970.
Find LCM of 483,371,885,322,901 with Prime Factorization
| 3 | 483, 371, 885, 322, 901 |
| 7 | 161, 371, 295, 322, 901 |
| 23 | 23, 53, 295, 46, 901 |
| 53 | 1, 53, 295, 2, 901 |
| 1, 1, 295, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 53 x 1 x 1 x 295 x 2 x 17 = 256757970
Therefore, the lowest common multiple of 483,371,885,322,901 is 256757970.
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.
483 x 371 x 885 x 322 x 901 = 46009230918210
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.
483 : 1, 3, 7, 21, 23, 69, 161, 483
371 : 1, 7, 53, 371
885 : 1, 3, 5, 15, 59, 177, 295, 885
322 : 1, 2, 7, 14, 23, 46, 161, 322
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,371,885,322,901, is 1.
Now, the common factors can be found like this.
483:3x 7x 23
371:7x 53
885:3x 5x 59
322:2x 7x 23
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 23x 53 = 179193
Therefore, the value for common factors is 179193.
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 = 46009230918210/(1x179193)
LCM = 46009230918210/179193
LCM = 256757970
Thus, we can understand that the LCM of 483,371,885,322,901 is 256757970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 483, 371, 885, 322, 901
1. What is the LCM of 483, 371, 885, 322, 901?
Answer: LCM of 483, 371, 885, 322, 901 is 256757970.
2. How to calculate the LCM of 483, 371, 885, 322, 901?
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 483, 371, 885, 322, 901.
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}.