Find the LCM of 917, 369, 916, 910, 498 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 917, 369, 916, 910, 498. So, keep reading to learn more.
Given numbers are 917,369,916,910,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,369,916,910,498 is 1672178458860.
Find LCM of 917,369,916,910,498 with Prime Factorization
2 | 917, 369, 916, 910, 498 |
3 | 917, 369, 458, 455, 249 |
7 | 917, 123, 458, 455, 83 |
131, 123, 458, 65, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 131 x 123 x 458 x 65 x 83 = 1672178458860
Therefore, the lowest common multiple of 917,369,916,910,498 is 1672178458860.
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.
917 x 369 x 916 x 910 x 498 = 140462990544240
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.
917 : 1, 7, 131, 917
369 : 1, 3, 9, 41, 123, 369
916 : 1, 2, 4, 229, 458, 916
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,369,916,910,498, is 1.
Now, the common factors can be found like this.
917:7x 131
369:3x 3x 41
916:2x 2x 229
910:2x 5x 7x 13
498:2x 3x 83
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 140462990544240/(1x84)
LCM = 140462990544240/84
LCM = 1672178458860
Thus, we can understand that the LCM of 917,369,916,910,498 is 1672178458860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 369, 916, 910, 498?
Answer: LCM of 917, 369, 916, 910, 498 is 1672178458860.
2. How to calculate the LCM of 917, 369, 916, 910, 498?
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 917, 369, 916, 910, 498.
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}.