LCM of 169, 680, 208, 204, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 680, 208, 204, 705 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 169, 680, 208, 204, 705. So, keep reading to learn more.
Given numbers are 169,680,208,204,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,680,208,204,705 is 32407440.
Find LCM of 169,680,208,204,705 with Prime Factorization
| 2 | 169, 680, 208, 204, 705 |
| 2 | 169, 340, 104, 102, 705 |
| 2 | 169, 170, 52, 51, 705 |
| 3 | 169, 85, 26, 51, 705 |
| 5 | 169, 85, 26, 17, 235 |
| 13 | 169, 17, 26, 17, 47 |
| 17 | 13, 17, 2, 17, 47 |
| 13, 1, 2, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 17 x 13 x 1 x 2 x 1 x 47 = 32407440
Therefore, the lowest common multiple of 169,680,208,204,705 is 32407440.
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.
169 x 680 x 208 x 204 x 705 = 3437781235200
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.
169 : 1, 13, 169
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,680,208,204,705, is 1.
Now, the common factors can be found like this.
169:13x 13
680:2x 2x 2x 5x 17
208:2x 2x 2x 2x 13
204:2x 2x 3x 17
705:3x 5x 47
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 13x 17 = 106080
Therefore, the value for common factors is 106080.
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 = 3437781235200/(1x106080)
LCM = 3437781235200/106080
LCM = 32407440
Thus, we can understand that the LCM of 169,680,208,204,705 is 32407440.
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FAQs on LCM of 169, 680, 208, 204, 705
1. What is the LCM of 169, 680, 208, 204, 705?
Answer: LCM of 169, 680, 208, 204, 705 is 32407440.
2. How to calculate the LCM of 169, 680, 208, 204, 705?
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 169, 680, 208, 204, 705.
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}.