Find the LCM of 264, 996, 874, 589, 337 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 264, 996, 874, 589, 337. So, keep reading to learn more.
Given numbers are 264,996,874,589,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,996,874,589,337 is 100035708168.
Find LCM of 264,996,874,589,337 with Prime Factorization
2 | 264, 996, 874, 589, 337 |
2 | 132, 498, 437, 589, 337 |
3 | 66, 249, 437, 589, 337 |
19 | 22, 83, 437, 589, 337 |
22, 83, 23, 31, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 22 x 83 x 23 x 31 x 337 = 100035708168
Therefore, the lowest common multiple of 264,996,874,589,337 is 100035708168.
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.
264 x 996 x 874 x 589 x 337 = 45616282924608
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
874 : 1, 2, 19, 23, 38, 46, 437, 874
589 : 1, 19, 31, 589
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,996,874,589,337, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
996:2x 2x 3x 83
874:2x 19x 23
589:19x 31
337:337
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 2x 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 45616282924608/(1x456)
LCM = 45616282924608/456
LCM = 100035708168
Thus, we can understand that the LCM of 264,996,874,589,337 is 100035708168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 264, 996, 874, 589, 337?
Answer: LCM of 264, 996, 874, 589, 337 is 100035708168.
2. How to calculate the LCM of 264, 996, 874, 589, 337?
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 264, 996, 874, 589, 337.
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}.