LCM of 107, 184, 471, 512, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 184, 471, 512, 320 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 107, 184, 471, 512, 320. So, keep reading to learn more.
Given numbers are 107,184,471,512,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,184,471,512,320 is 2967375360.
Find LCM of 107,184,471,512,320 with Prime Factorization
| 2 | 107, 184, 471, 512, 320 |
| 2 | 107, 92, 471, 256, 160 |
| 2 | 107, 46, 471, 128, 80 |
| 2 | 107, 23, 471, 64, 40 |
| 2 | 107, 23, 471, 32, 20 |
| 2 | 107, 23, 471, 16, 10 |
| 107, 23, 471, 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 107 x 23 x 471 x 8 x 5 = 2967375360
Therefore, the lowest common multiple of 107,184,471,512,320 is 2967375360.
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.
107 x 184 x 471 x 512 x 320 = 1519296184320
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.
107 : 1, 107
184 : 1, 2, 4, 8, 23, 46, 92, 184
471 : 1, 3, 157, 471
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,184,471,512,320, is 1.
Now, the common factors can be found like this.
107:107
184:2x 2x 2x 23
471:3x 157
512:2x 2x 2x 2x 2x 2x 2x 2x 2
320:2x 2x 2x 2x 2x 2x 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 2 = 512
Therefore, the value for common factors is 512.
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 = 1519296184320/(1x512)
LCM = 1519296184320/512
LCM = 2967375360
Thus, we can understand that the LCM of 107,184,471,512,320 is 2967375360.
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FAQs on LCM of 107, 184, 471, 512, 320
1. What is the LCM of 107, 184, 471, 512, 320?
Answer: LCM of 107, 184, 471, 512, 320 is 2967375360.
2. How to calculate the LCM of 107, 184, 471, 512, 320?
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 107, 184, 471, 512, 320.
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}.