Find the LCM of 780, 865, 806, 837, 254 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 780, 865, 806, 837, 254. So, keep reading to learn more.
Given numbers are 780,865,806,837,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,865,806,837,254 is 4781329020.
Find LCM of 780,865,806,837,254 with Prime Factorization
2 | 780, 865, 806, 837, 254 |
3 | 390, 865, 403, 837, 127 |
5 | 130, 865, 403, 279, 127 |
13 | 26, 173, 403, 279, 127 |
31 | 2, 173, 31, 279, 127 |
2, 173, 1, 9, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 31 x 2 x 173 x 1 x 9 x 127 = 4781329020
Therefore, the lowest common multiple of 780,865,806,837,254 is 4781329020.
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.
780 x 865 x 806 x 837 x 254 = 115612535703600
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
865 : 1, 5, 173, 865
806 : 1, 2, 13, 26, 31, 62, 403, 806
837 : 1, 3, 9, 27, 31, 93, 279, 837
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,865,806,837,254, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
865:5x 173
806:2x 13x 31
837:3x 3x 3x 31
254:2x 127
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 5x 13x 31 = 24180
Therefore, the value for common factors is 24180.
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 = 115612535703600/(1x24180)
LCM = 115612535703600/24180
LCM = 4781329020
Thus, we can understand that the LCM of 780,865,806,837,254 is 4781329020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 780, 865, 806, 837, 254?
Answer: LCM of 780, 865, 806, 837, 254 is 4781329020.
2. How to calculate the LCM of 780, 865, 806, 837, 254?
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 780, 865, 806, 837, 254.
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}.