Find the LCM of 995, 384, 616, 630, 789 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 995, 384, 616, 630, 789. So, keep reading to learn more.
Given numbers are 995,384,616,630,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,384,616,630,789 is 23212506240.
Find LCM of 995,384,616,630,789 with Prime Factorization
2 | 995, 384, 616, 630, 789 |
2 | 995, 192, 308, 315, 789 |
2 | 995, 96, 154, 315, 789 |
3 | 995, 48, 77, 315, 789 |
5 | 995, 16, 77, 105, 263 |
7 | 199, 16, 77, 21, 263 |
199, 16, 11, 3, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 199 x 16 x 11 x 3 x 263 = 23212506240
Therefore, the lowest common multiple of 995,384,616,630,789 is 23212506240.
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.
995 x 384 x 616 x 630 x 789 = 116991031449600
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.
995 : 1, 5, 199, 995
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,384,616,630,789, is 1.
Now, the common factors can be found like this.
995:5x 199
384:2x 2x 2x 2x 2x 2x 2x 3
616:2x 2x 2x 7x 11
630:2x 3x 3x 5x 7
789:3x 263
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 2x 2x 3x 3x 5x 7 = 5040
Therefore, the value for common factors is 5040.
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 = 116991031449600/(1x5040)
LCM = 116991031449600/5040
LCM = 23212506240
Thus, we can understand that the LCM of 995,384,616,630,789 is 23212506240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 384, 616, 630, 789?
Answer: LCM of 995, 384, 616, 630, 789 is 23212506240.
2. How to calculate the LCM of 995, 384, 616, 630, 789?
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 995, 384, 616, 630, 789.
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}.