LCM of 209, 480, 877, 704, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 480, 877, 704, 915 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 209, 480, 877, 704, 915. So, keep reading to learn more.
Given numbers are 209,480,877,704,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,480,877,704,915 is 10733638080.
Find LCM of 209,480,877,704,915 with Prime Factorization
| 2 | 209, 480, 877, 704, 915 |
| 2 | 209, 240, 877, 352, 915 |
| 2 | 209, 120, 877, 176, 915 |
| 2 | 209, 60, 877, 88, 915 |
| 2 | 209, 30, 877, 44, 915 |
| 3 | 209, 15, 877, 22, 915 |
| 5 | 209, 5, 877, 22, 305 |
| 11 | 209, 1, 877, 22, 61 |
| 19, 1, 877, 2, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 1 x 877 x 2 x 61 = 10733638080
Therefore, the lowest common multiple of 209,480,877,704,915 is 10733638080.
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.
209 x 480 x 877 x 704 x 915 = 56673609062400
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.
209 : 1, 11, 19, 209
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
877 : 1, 877
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,480,877,704,915, is 1.
Now, the common factors can be found like this.
209:11x 19
480:2x 2x 2x 2x 2x 3x 5
877:877
704:2x 2x 2x 2x 2x 2x 11
915:3x 5x 61
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 2x 3x 5x 11 = 5280
Therefore, the value for common factors is 5280.
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 = 56673609062400/(1x5280)
LCM = 56673609062400/5280
LCM = 10733638080
Thus, we can understand that the LCM of 209,480,877,704,915 is 10733638080.
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FAQs on LCM of 209, 480, 877, 704, 915
1. What is the LCM of 209, 480, 877, 704, 915?
Answer: LCM of 209, 480, 877, 704, 915 is 10733638080.
2. How to calculate the LCM of 209, 480, 877, 704, 915?
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 209, 480, 877, 704, 915.
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}.