LCM of 110, 144, 705, 143, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 144, 705, 143, 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 110, 144, 705, 143, 460. So, keep reading to learn more.
Given numbers are 110,144,705,143,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,144,705,143,460 is 111299760.
Find LCM of 110,144,705,143,460 with Prime Factorization
| 2 | 110, 144, 705, 143, 460 |
| 2 | 55, 72, 705, 143, 230 |
| 3 | 55, 36, 705, 143, 115 |
| 5 | 55, 12, 235, 143, 115 |
| 11 | 11, 12, 47, 143, 23 |
| 1, 12, 47, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 1 x 12 x 47 x 13 x 23 = 111299760
Therefore, the lowest common multiple of 110,144,705,143,460 is 111299760.
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.
110 x 144 x 705 x 143 x 460 = 734578416000
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
705 : 1, 3, 5, 15, 47, 141, 235, 705
143 : 1, 11, 13, 143
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 110,144,705,143,460, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
144:2x 2x 2x 2x 3x 3
705:3x 5x 47
143:11x 13
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 3x 5x 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 734578416000/(1x6600)
LCM = 734578416000/6600
LCM = 111299760
Thus, we can understand that the LCM of 110,144,705,143,460 is 111299760.
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FAQs on LCM of 110, 144, 705, 143, 460
1. What is the LCM of 110, 144, 705, 143, 460?
Answer: LCM of 110, 144, 705, 143, 460 is 111299760.
2. How to calculate the LCM of 110, 144, 705, 143, 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 110, 144, 705, 143, 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}.