Find the LCM of 995, 464, 969, 149, 918 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, 464, 969, 149, 918. So, keep reading to learn more.
Given numbers are 995,464,969,149,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,464,969,149,918 is 599920380720.
Find LCM of 995,464,969,149,918 with Prime Factorization
2 | 995, 464, 969, 149, 918 |
3 | 995, 232, 969, 149, 459 |
17 | 995, 232, 323, 149, 153 |
995, 232, 19, 149, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 995 x 232 x 19 x 149 x 9 = 599920380720
Therefore, the lowest common multiple of 995,464,969,149,918 is 599920380720.
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 464 x 969 x 149 x 918 = 61191878833440
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
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
969 : 1, 3, 17, 19, 51, 57, 323, 969
149 : 1, 149
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,464,969,149,918, is 1.
Now, the common factors can be found like this.
995:5x 199
464:2x 2x 2x 2x 29
969:3x 17x 19
149:149
918:2x 3x 3x 3x 17
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 17 = 102
Therefore, the value for common factors is 102.
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 = 61191878833440/(1x102)
LCM = 61191878833440/102
LCM = 599920380720
Thus, we can understand that the LCM of 995,464,969,149,918 is 599920380720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 464, 969, 149, 918?
Answer: LCM of 995, 464, 969, 149, 918 is 599920380720.
2. How to calculate the LCM of 995, 464, 969, 149, 918?
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, 464, 969, 149, 918.
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}.