Find the LCM of 249, 913, 792, 407, 861 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 249, 913, 792, 407, 861. So, keep reading to learn more.
Given numbers are 249,913,792,407,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,913,792,407,861 is 698050584.
Find LCM of 249,913,792,407,861 with Prime Factorization
3 | 249, 913, 792, 407, 861 |
11 | 83, 913, 264, 407, 287 |
83 | 83, 83, 24, 37, 287 |
1, 1, 24, 37, 287 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 83 x 1 x 1 x 24 x 37 x 287 = 698050584
Therefore, the lowest common multiple of 249,913,792,407,861 is 698050584.
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.
249 x 913 x 792 x 407 x 861 = 63094698136008
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.
249 : 1, 3, 83, 249
913 : 1, 11, 83, 913
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
407 : 1, 11, 37, 407
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,913,792,407,861, is 1.
Now, the common factors can be found like this.
249:3x 83
913:11x 83
792:2x 2x 2x 3x 3x 11
407:11x 37
861:3x 7x 41
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 11x 83 = 90387
Therefore, the value for common factors is 90387.
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 = 63094698136008/(1x90387)
LCM = 63094698136008/90387
LCM = 698050584
Thus, we can understand that the LCM of 249,913,792,407,861 is 698050584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 913, 792, 407, 861?
Answer: LCM of 249, 913, 792, 407, 861 is 698050584.
2. How to calculate the LCM of 249, 913, 792, 407, 861?
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 249, 913, 792, 407, 861.
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}.