Find the LCM of 105, 814, 360, 985, 995 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 105, 814, 360, 985, 995. So, keep reading to learn more.
Given numbers are 105,814,360,985,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,814,360,985,995 is 40208164920.
Find LCM of 105,814,360,985,995 with Prime Factorization
2 | 105, 814, 360, 985, 995 |
3 | 105, 407, 180, 985, 995 |
5 | 35, 407, 60, 985, 995 |
7, 407, 12, 197, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 407 x 12 x 197 x 199 = 40208164920
Therefore, the lowest common multiple of 105,814,360,985,995 is 40208164920.
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.
105 x 814 x 360 x 985 x 995 = 30156123690000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
814 : 1, 2, 11, 22, 37, 74, 407, 814
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
985 : 1, 5, 197, 985
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,814,360,985,995, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
814:2x 11x 37
360:2x 2x 2x 3x 3x 5
985:5x 197
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 30156123690000/(1x750)
LCM = 30156123690000/750
LCM = 40208164920
Thus, we can understand that the LCM of 105,814,360,985,995 is 40208164920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 814, 360, 985, 995?
Answer: LCM of 105, 814, 360, 985, 995 is 40208164920.
2. How to calculate the LCM of 105, 814, 360, 985, 995?
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 105, 814, 360, 985, 995.
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}.