LCM of 136, 920, 683, 406, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 920, 683, 406, 460 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 136, 920, 683, 406, 460. So, keep reading to learn more.
Given numbers are 136,920,683,406,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,920,683,406,460 is 2168470360.
Find LCM of 136,920,683,406,460 with Prime Factorization
| 2 | 136, 920, 683, 406, 460 |
| 2 | 68, 460, 683, 203, 230 |
| 2 | 34, 115, 683, 203, 230 |
| 5 | 17, 115, 683, 203, 115 |
| 23 | 17, 23, 683, 203, 23 |
| 17, 1, 683, 203, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 17 x 1 x 683 x 203 x 1 = 2168470360
Therefore, the lowest common multiple of 136,920,683,406,460 is 2168470360.
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.
136 x 920 x 683 x 406 x 460 = 15959941849600
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
683 : 1, 683
406 : 1, 2, 7, 14, 29, 58, 203, 406
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,920,683,406,460, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
920:2x 2x 2x 5x 23
683:683
406:2x 7x 29
460:2x 2x 5x 23
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 2x 5x 23 = 7360
Therefore, the value for common factors is 7360.
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 = 15959941849600/(1x7360)
LCM = 15959941849600/7360
LCM = 2168470360
Thus, we can understand that the LCM of 136,920,683,406,460 is 2168470360.
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FAQs on LCM of 136, 920, 683, 406, 460
1. What is the LCM of 136, 920, 683, 406, 460?
Answer: LCM of 136, 920, 683, 406, 460 is 2168470360.
2. How to calculate the LCM of 136, 920, 683, 406, 460?
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 136, 920, 683, 406, 460.
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}.