Find the LCM of 797, 368, 188, 649, 222 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 797, 368, 188, 649, 222. So, keep reading to learn more.
Given numbers are 797,368,188,649,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,368,188,649,222 is 993051275568.
Find LCM of 797,368,188,649,222 with Prime Factorization
2 | 797, 368, 188, 649, 222 |
2 | 797, 184, 94, 649, 111 |
797, 92, 47, 649, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 797 x 92 x 47 x 649 x 111 = 993051275568
Therefore, the lowest common multiple of 797,368,188,649,222 is 993051275568.
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.
797 x 368 x 188 x 649 x 222 = 7944410204544
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.
797 : 1, 797
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
188 : 1, 2, 4, 47, 94, 188
649 : 1, 11, 59, 649
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,368,188,649,222, is 1.
Now, the common factors can be found like this.
797:797
368:2x 2x 2x 2x 23
188:2x 2x 47
649:11x 59
222:2x 3x 37
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 2 = 8
Therefore, the value for common factors is 8.
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 = 7944410204544/(1x8)
LCM = 7944410204544/8
LCM = 993051275568
Thus, we can understand that the LCM of 797,368,188,649,222 is 993051275568.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 797, 368, 188, 649, 222?
Answer: LCM of 797, 368, 188, 649, 222 is 993051275568.
2. How to calculate the LCM of 797, 368, 188, 649, 222?
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 797, 368, 188, 649, 222.
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}.