LCM of 452, 236, 165, 678, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 236, 165, 678, 800 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 452, 236, 165, 678, 800. So, keep reading to learn more.
Given numbers are 452,236,165,678,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,236,165,678,800 is 176008800.
Find LCM of 452,236,165,678,800 with Prime Factorization
| 2 | 452, 236, 165, 678, 800 |
| 2 | 226, 118, 165, 339, 400 |
| 3 | 113, 59, 165, 339, 200 |
| 5 | 113, 59, 55, 113, 200 |
| 113 | 113, 59, 11, 113, 40 |
| 1, 59, 11, 1, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 113 x 1 x 59 x 11 x 1 x 40 = 176008800
Therefore, the lowest common multiple of 452,236,165,678,800 is 176008800.
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.
452 x 236 x 165 x 678 x 800 = 9546717312000
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.
452 : 1, 2, 4, 113, 226, 452
236 : 1, 2, 4, 59, 118, 236
165 : 1, 3, 5, 11, 15, 33, 55, 165
678 : 1, 2, 3, 6, 113, 226, 339, 678
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,236,165,678,800, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
236:2x 2x 59
165:3x 5x 11
678:2x 3x 113
800:2x 2x 2x 2x 2x 5x 5
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 113 = 54240
Therefore, the value for common factors is 54240.
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 = 9546717312000/(1x54240)
LCM = 9546717312000/54240
LCM = 176008800
Thus, we can understand that the LCM of 452,236,165,678,800 is 176008800.
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FAQs on LCM of 452, 236, 165, 678, 800
1. What is the LCM of 452, 236, 165, 678, 800?
Answer: LCM of 452, 236, 165, 678, 800 is 176008800.
2. How to calculate the LCM of 452, 236, 165, 678, 800?
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 452, 236, 165, 678, 800.
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}.