LCM of 163, 851, 408, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 163, 851, 408, 960 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 163, 851, 408, 960. So, keep reading to learn more.
Given numbers are 163,851,408,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,851,408,960 is 2263796160.
Find LCM of 163,851,408,960 with Prime Factorization
| 2 | 163, 851, 408, 960 |
| 2 | 163, 851, 204, 480 |
| 2 | 163, 851, 102, 240 |
| 3 | 163, 851, 51, 120 |
| 163, 851, 17, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 163 x 851 x 17 x 40 = 2263796160
Therefore, the lowest common multiple of 163,851,408,960 is 2263796160.
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.
163 x 851 x 408 x 960 = 54331107840
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.
163 : 1, 163
851 : 1, 23, 37, 851
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,851,408,960, is 1.
Now, the common factors can be found like this.
163:163
851:23x 37
408:2x 2x 2x 3x 17
960:2x 2x 2x 2x 2x 2x 3x 5
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 3 = 24
Therefore, the value for common factors is 24.
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 = 54331107840/(1x24)
LCM = 54331107840/24
LCM = 2263796160
Thus, we can understand that the LCM of 163,851,408,960 is 2263796160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 163, 851, 408, 960
1. What is the LCM of 163, 851, 408, 960?
Answer: LCM of 163, 851, 408, 960 is 2263796160.
2. How to calculate the LCM of 163, 851, 408, 960?
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 163, 851, 408, 960.
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}.