LCM of 666, 424, 514, 273, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 424, 514, 273, 280 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 666, 424, 514, 273, 280. So, keep reading to learn more.
Given numbers are 666,424,514,273,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,424,514,273,280 is 16510286520.
Find LCM of 666,424,514,273,280 with Prime Factorization
| 2 | 666, 424, 514, 273, 280 |
| 2 | 333, 212, 257, 273, 140 |
| 2 | 333, 106, 257, 273, 70 |
| 3 | 333, 53, 257, 273, 35 |
| 7 | 111, 53, 257, 91, 35 |
| 111, 53, 257, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 111 x 53 x 257 x 13 x 5 = 16510286520
Therefore, the lowest common multiple of 666,424,514,273,280 is 16510286520.
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.
666 x 424 x 514 x 273 x 280 = 11094912541440
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
424 : 1, 2, 4, 8, 53, 106, 212, 424
514 : 1, 2, 257, 514
273 : 1, 3, 7, 13, 21, 39, 91, 273
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,424,514,273,280, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
424:2x 2x 2x 53
514:2x 257
273:3x 7x 13
280:2x 2x 2x 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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 11094912541440/(1x672)
LCM = 11094912541440/672
LCM = 16510286520
Thus, we can understand that the LCM of 666,424,514,273,280 is 16510286520.
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FAQs on LCM of 666, 424, 514, 273, 280
1. What is the LCM of 666, 424, 514, 273, 280?
Answer: LCM of 666, 424, 514, 273, 280 is 16510286520.
2. How to calculate the LCM of 666, 424, 514, 273, 280?
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 666, 424, 514, 273, 280.
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}.