Find the LCM of 417, 903, 309, 730, 924 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 417, 903, 309, 730, 924. So, keep reading to learn more.
Given numbers are 417,903,309,730,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,903,309,730,924 is 207627711060.
Find LCM of 417,903,309,730,924 with Prime Factorization
2 | 417, 903, 309, 730, 924 |
3 | 417, 903, 309, 365, 462 |
7 | 139, 301, 103, 365, 154 |
139, 43, 103, 365, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 139 x 43 x 103 x 365 x 22 = 207627711060
Therefore, the lowest common multiple of 417,903,309,730,924 is 207627711060.
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.
417 x 903 x 309 x 730 x 924 = 78483274780680
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.
417 : 1, 3, 139, 417
903 : 1, 3, 7, 21, 43, 129, 301, 903
309 : 1, 3, 103, 309
730 : 1, 2, 5, 10, 73, 146, 365, 730
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,903,309,730,924, is 1.
Now, the common factors can be found like this.
417:3x 139
903:3x 7x 43
309:3x 103
730:2x 5x 73
924:2x 2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 78483274780680/(1x378)
LCM = 78483274780680/378
LCM = 207627711060
Thus, we can understand that the LCM of 417,903,309,730,924 is 207627711060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 903, 309, 730, 924?
Answer: LCM of 417, 903, 309, 730, 924 is 207627711060.
2. How to calculate the LCM of 417, 903, 309, 730, 924?
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 417, 903, 309, 730, 924.
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}.