LCM of 630, 466, 350, 304, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 466, 350, 304, 514 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 630, 466, 350, 304, 514. So, keep reading to learn more.
Given numbers are 630,466,350,304,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,466,350,304,514 is 28671022800.
Find LCM of 630,466,350,304,514 with Prime Factorization
| 2 | 630, 466, 350, 304, 514 |
| 5 | 315, 233, 175, 152, 257 |
| 7 | 63, 233, 35, 152, 257 |
| 9, 233, 5, 152, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 9 x 233 x 5 x 152 x 257 = 28671022800
Therefore, the lowest common multiple of 630,466,350,304,514 is 28671022800.
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.
630 x 466 x 350 x 304 x 514 = 16055772768000
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.
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
466 : 1, 2, 233, 466
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,466,350,304,514, is 2.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
466:2x 233
350:2x 5x 5x 7
304:2x 2x 2x 2x 19
514:2x 257
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 16055772768000/(2x280)
LCM = 16055772768000/560
LCM = 28671022800
Thus, we can understand that the LCM of 630,466,350,304,514 is 28671022800.
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FAQs on LCM of 630, 466, 350, 304, 514
1. What is the LCM of 630, 466, 350, 304, 514?
Answer: LCM of 630, 466, 350, 304, 514 is 28671022800.
2. How to calculate the LCM of 630, 466, 350, 304, 514?
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 630, 466, 350, 304, 514.
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}.