Find the LCM of 324, 995, 649, 651, 904 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 324, 995, 649, 651, 904. So, keep reading to learn more.
Given numbers are 324,995,649,651,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,995,649,651,904 is 10260793814040.
Find LCM of 324,995,649,651,904 with Prime Factorization
2 | 324, 995, 649, 651, 904 |
2 | 162, 995, 649, 651, 452 |
3 | 81, 995, 649, 651, 226 |
27, 995, 649, 217, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 27 x 995 x 649 x 217 x 226 = 10260793814040
Therefore, the lowest common multiple of 324,995,649,651,904 is 10260793814040.
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.
324 x 995 x 649 x 651 x 904 = 123129525768480
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
995 : 1, 5, 199, 995
649 : 1, 11, 59, 649
651 : 1, 3, 7, 21, 31, 93, 217, 651
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,995,649,651,904, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
995:5x 199
649:11x 59
651:3x 7x 31
904:2x 2x 2x 113
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 3 = 12
Therefore, the value for common factors is 12.
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 = 123129525768480/(1x12)
LCM = 123129525768480/12
LCM = 10260793814040
Thus, we can understand that the LCM of 324,995,649,651,904 is 10260793814040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 324, 995, 649, 651, 904?
Answer: LCM of 324, 995, 649, 651, 904 is 10260793814040.
2. How to calculate the LCM of 324, 995, 649, 651, 904?
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 324, 995, 649, 651, 904.
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}.