LCM of 428, 630, 512, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 630, 512, 210 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 428, 630, 512, 210. So, keep reading to learn more.
Given numbers are 428,630,512,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,630,512,210 is 17256960.
Find LCM of 428,630,512,210 with Prime Factorization
| 2 | 428, 630, 512, 210 |
| 2 | 214, 315, 256, 105 |
| 3 | 107, 315, 128, 105 |
| 5 | 107, 35, 128, 105 |
| 7 | 107, 7, 128, 21 |
| 107, 1, 128, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 107 x 1 x 128 x 3 = 17256960
Therefore, the lowest common multiple of 428,630,512,210 is 17256960.
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.
428 x 630 x 512 x 210 = 28991692800
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.
428 : 1, 2, 4, 107, 214, 428
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,630,512,210, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
630:2x 3x 3x 5x 7
512:2x 2x 2x 2x 2x 2x 2x 2x 2
210:2x 3x 5x 7
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 7 = 840
Therefore, the value for common factors is 840.
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 = 28991692800/(2x840)
LCM = 28991692800/1680
LCM = 17256960
Thus, we can understand that the LCM of 428,630,512,210 is 17256960.
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FAQs on LCM of 428, 630, 512, 210
1. What is the LCM of 428, 630, 512, 210?
Answer: LCM of 428, 630, 512, 210 is 17256960.
2. How to calculate the LCM of 428, 630, 512, 210?
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 428, 630, 512, 210.
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}.