Find the LCM of 584, 803, 939, 478, 962 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 584, 803, 939, 478, 962. So, keep reading to learn more.
Given numbers are 584,803,939,478,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,803,939,478,962 is 693448322424.
Find LCM of 584,803,939,478,962 with Prime Factorization
2 | 584, 803, 939, 478, 962 |
73 | 292, 803, 939, 239, 481 |
4, 11, 939, 239, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 4 x 11 x 939 x 239 x 481 = 693448322424
Therefore, the lowest common multiple of 584,803,939,478,962 is 693448322424.
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.
584 x 803 x 939 x 478 x 962 = 202486910147808
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
803 : 1, 11, 73, 803
939 : 1, 3, 313, 939
478 : 1, 2, 239, 478
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,803,939,478,962, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
803:11x 73
939:3x 313
478:2x 239
962:2x 13x 37
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 73 = 292
Therefore, the value for common factors is 292.
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 = 202486910147808/(1x292)
LCM = 202486910147808/292
LCM = 693448322424
Thus, we can understand that the LCM of 584,803,939,478,962 is 693448322424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 803, 939, 478, 962?
Answer: LCM of 584, 803, 939, 478, 962 is 693448322424.
2. How to calculate the LCM of 584, 803, 939, 478, 962?
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 584, 803, 939, 478, 962.
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}.