Find the LCM of 517, 649, 780, 367, 848 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 517, 649, 780, 367, 848. So, keep reading to learn more.
Given numbers are 517,649,780,367,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,649,780,367,848 is 1851139221360.
Find LCM of 517,649,780,367,848 with Prime Factorization
2 | 517, 649, 780, 367, 848 |
2 | 517, 649, 390, 367, 424 |
11 | 517, 649, 195, 367, 212 |
47, 59, 195, 367, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 47 x 59 x 195 x 367 x 212 = 1851139221360
Therefore, the lowest common multiple of 517,649,780,367,848 is 1851139221360.
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.
517 x 649 x 780 x 367 x 848 = 81450125739840
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.
517 : 1, 11, 47, 517
649 : 1, 11, 59, 649
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
367 : 1, 367
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,649,780,367,848, is 1.
Now, the common factors can be found like this.
517:11x 47
649:11x 59
780:2x 2x 3x 5x 13
367:367
848:2x 2x 2x 2x 53
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 11 = 44
Therefore, the value for common factors is 44.
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 = 81450125739840/(1x44)
LCM = 81450125739840/44
LCM = 1851139221360
Thus, we can understand that the LCM of 517,649,780,367,848 is 1851139221360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 649, 780, 367, 848?
Answer: LCM of 517, 649, 780, 367, 848 is 1851139221360.
2. How to calculate the LCM of 517, 649, 780, 367, 848?
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 517, 649, 780, 367, 848.
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}.