Find the LCM of 991, 429, 390, 864, 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 991, 429, 390, 864, 995. So, keep reading to learn more.
Given numbers are 991,429,390,864,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,429,390,864,995 is 121827831840.
Find LCM of 991,429,390,864,995 with Prime Factorization
2 | 991, 429, 390, 864, 995 |
3 | 991, 429, 195, 432, 995 |
5 | 991, 143, 65, 144, 995 |
13 | 991, 143, 13, 144, 199 |
991, 11, 1, 144, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 991 x 11 x 1 x 144 x 199 = 121827831840
Therefore, the lowest common multiple of 991,429,390,864,995 is 121827831840.
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.
991 x 429 x 390 x 864 x 995 = 142538563252800
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.
991 : 1, 991
429 : 1, 3, 11, 13, 33, 39, 143, 429
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,429,390,864,995, is 1.
Now, the common factors can be found like this.
991:991
429:3x 11x 13
390:2x 3x 5x 13
864:2x 2x 2x 2x 2x 3x 3x 3
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 3x 5x 13 = 1170
Therefore, the value for common factors is 1170.
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 = 142538563252800/(1x1170)
LCM = 142538563252800/1170
LCM = 121827831840
Thus, we can understand that the LCM of 991,429,390,864,995 is 121827831840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 429, 390, 864, 995?
Answer: LCM of 991, 429, 390, 864, 995 is 121827831840.
2. How to calculate the LCM of 991, 429, 390, 864, 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 991, 429, 390, 864, 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}.