LCM of 101, 484, 172, 704, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 484, 172, 704, 909 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 101, 484, 172, 704, 909. So, keep reading to learn more.
Given numbers are 101,484,172,704,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,484,172,704,909 is 302689728.
Find LCM of 101,484,172,704,909 with Prime Factorization
| 2 | 101, 484, 172, 704, 909 |
| 2 | 101, 242, 86, 352, 909 |
| 11 | 101, 121, 43, 176, 909 |
| 101 | 101, 11, 43, 16, 909 |
| 1, 11, 43, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 101 x 1 x 11 x 43 x 16 x 9 = 302689728
Therefore, the lowest common multiple of 101,484,172,704,909 is 302689728.
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.
101 x 484 x 172 x 704 x 909 = 5380612604928
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.
101 : 1, 101
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
172 : 1, 2, 4, 43, 86, 172
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,484,172,704,909, is 1.
Now, the common factors can be found like this.
101:101
484:2x 2x 11x 11
172:2x 2x 43
704:2x 2x 2x 2x 2x 2x 11
909:3x 3x 101
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 11x 101 = 17776
Therefore, the value for common factors is 17776.
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 = 5380612604928/(1x17776)
LCM = 5380612604928/17776
LCM = 302689728
Thus, we can understand that the LCM of 101,484,172,704,909 is 302689728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 101, 484, 172, 704, 909
1. What is the LCM of 101, 484, 172, 704, 909?
Answer: LCM of 101, 484, 172, 704, 909 is 302689728.
2. How to calculate the LCM of 101, 484, 172, 704, 909?
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 101, 484, 172, 704, 909.
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}.