LCM of 290, 192, 177, 512, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 192, 177, 512, 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 290, 192, 177, 512, 800. So, keep reading to learn more.
Given numbers are 290,192,177,512,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,192,177,512,800 is 65702400.
Find LCM of 290,192,177,512,800 with Prime Factorization
| 2 | 290, 192, 177, 512, 800 |
| 2 | 145, 96, 177, 256, 400 |
| 2 | 145, 48, 177, 128, 200 |
| 2 | 145, 24, 177, 64, 100 |
| 2 | 145, 12, 177, 32, 50 |
| 2 | 145, 6, 177, 16, 25 |
| 3 | 145, 3, 177, 8, 25 |
| 5 | 145, 1, 59, 8, 25 |
| 29, 1, 59, 8, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 1 x 59 x 8 x 5 = 65702400
Therefore, the lowest common multiple of 290,192,177,512,800 is 65702400.
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.
290 x 192 x 177 x 512 x 800 = 4036755456000
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
177 : 1, 3, 59, 177
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
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 290,192,177,512,800, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
192:2x 2x 2x 2x 2x 2x 3
177:3x 59
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 2x 2x 2x 3x 5 = 61440
Therefore, the value for common factors is 61440.
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 = 4036755456000/(1x61440)
LCM = 4036755456000/61440
LCM = 65702400
Thus, we can understand that the LCM of 290,192,177,512,800 is 65702400.
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FAQs on LCM of 290, 192, 177, 512, 800
1. What is the LCM of 290, 192, 177, 512, 800?
Answer: LCM of 290, 192, 177, 512, 800 is 65702400.
2. How to calculate the LCM of 290, 192, 177, 512, 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 290, 192, 177, 512, 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}.