LCM of 624, 768, 183, 800, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 768, 183, 800, 110 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 624, 768, 183, 800, 110. So, keep reading to learn more.
Given numbers are 624,768,183,800,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,768,183,800,110 is 167481600.
Find LCM of 624,768,183,800,110 with Prime Factorization
| 2 | 624, 768, 183, 800, 110 |
| 2 | 312, 384, 183, 400, 55 |
| 2 | 156, 192, 183, 200, 55 |
| 2 | 78, 96, 183, 100, 55 |
| 2 | 39, 48, 183, 50, 55 |
| 3 | 39, 24, 183, 25, 55 |
| 5 | 13, 8, 61, 25, 55 |
| 13, 8, 61, 5, 11 |
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 13 x 8 x 61 x 5 x 11 = 167481600
Therefore, the lowest common multiple of 624,768,183,800,110 is 167481600.
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.
624 x 768 x 183 x 800 x 110 = 7717552128000
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
183 : 1, 3, 61, 183
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,768,183,800,110, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
183:3x 61
800:2x 2x 2x 2x 2x 5x 5
110:2x 5x 11
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 2x 2x 2x 2x 3x 3x 5 = 46080
Therefore, the value for common factors is 46080.
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 = 7717552128000/(1x46080)
LCM = 7717552128000/46080
LCM = 167481600
Thus, we can understand that the LCM of 624,768,183,800,110 is 167481600.
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FAQs on LCM of 624, 768, 183, 800, 110
1. What is the LCM of 624, 768, 183, 800, 110?
Answer: LCM of 624, 768, 183, 800, 110 is 167481600.
2. How to calculate the LCM of 624, 768, 183, 800, 110?
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 624, 768, 183, 800, 110.
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}.