Find the LCM of 995, 901, 480, 153, 944 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, 901, 480, 153, 944. So, keep reading to learn more.
Given numbers are 995,901,480,153,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,901,480,153,944 is 15233243040.
Find LCM of 995,901,480,153,944 with Prime Factorization
2 | 995, 901, 480, 153, 944 |
2 | 995, 901, 240, 153, 472 |
2 | 995, 901, 120, 153, 236 |
2 | 995, 901, 60, 153, 118 |
3 | 995, 901, 30, 153, 59 |
5 | 995, 901, 10, 51, 59 |
17 | 199, 901, 2, 51, 59 |
199, 53, 2, 3, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 17 x 199 x 53 x 2 x 3 x 59 = 15233243040
Therefore, the lowest common multiple of 995,901,480,153,944 is 15233243040.
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 901 x 480 x 153 x 944 = 62151631603200
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
901 : 1, 17, 53, 901
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
153 : 1, 3, 9, 17, 51, 153
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,901,480,153,944, is 1.
Now, the common factors can be found like this.
995:5x 199
901:17x 53
480:2x 2x 2x 2x 2x 3x 5
153:3x 3x 17
944:2x 2x 2x 2x 59
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 5x 17 = 4080
Therefore, the value for common factors is 4080.
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 = 62151631603200/(1x4080)
LCM = 62151631603200/4080
LCM = 15233243040
Thus, we can understand that the LCM of 995,901,480,153,944 is 15233243040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 995, 901, 480, 153, 944?
Answer: LCM of 995, 901, 480, 153, 944 is 15233243040.
2. How to calculate the LCM of 995, 901, 480, 153, 944?
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, 901, 480, 153, 944.
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}.