Find the LCM of 321, 803, 671, 276, 483 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 321, 803, 671, 276, 483. So, keep reading to learn more.
Given numbers are 321,803,671,276,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,803,671,276,483 is 10125961692.
Find LCM of 321,803,671,276,483 with Prime Factorization
3 | 321, 803, 671, 276, 483 |
11 | 107, 803, 671, 92, 161 |
23 | 107, 73, 61, 92, 161 |
107, 73, 61, 4, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 107 x 73 x 61 x 4 x 7 = 10125961692
Therefore, the lowest common multiple of 321,803,671,276,483 is 10125961692.
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.
321 x 803 x 671 x 276 x 483 = 23056814772684
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.
321 : 1, 3, 107, 321
803 : 1, 11, 73, 803
671 : 1, 11, 61, 671
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,803,671,276,483, is 1.
Now, the common factors can be found like this.
321:3x 107
803:11x 73
671:11x 61
276:2x 2x 3x 23
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 23056814772684/(1x2277)
LCM = 23056814772684/2277
LCM = 10125961692
Thus, we can understand that the LCM of 321,803,671,276,483 is 10125961692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 803, 671, 276, 483?
Answer: LCM of 321, 803, 671, 276, 483 is 10125961692.
2. How to calculate the LCM of 321, 803, 671, 276, 483?
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 321, 803, 671, 276, 483.
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}.