LCM of 514, 708, 990, 600, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 708, 990, 600, 381 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 514, 708, 990, 600, 381. So, keep reading to learn more.
Given numbers are 514,708,990,600,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,708,990,600,381 is 38128879800.
Find LCM of 514,708,990,600,381 with Prime Factorization
| 2 | 514, 708, 990, 600, 381 |
| 2 | 257, 354, 495, 300, 381 |
| 3 | 257, 177, 495, 150, 381 |
| 5 | 257, 59, 165, 50, 127 |
| 257, 59, 33, 10, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 257 x 59 x 33 x 10 x 127 = 38128879800
Therefore, the lowest common multiple of 514,708,990,600,381 is 38128879800.
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.
514 x 708 x 990 x 600 x 381 = 82358380368000
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.
514 : 1, 2, 257, 514
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,708,990,600,381, is 1.
Now, the common factors can be found like this.
514:2x 257
708:2x 2x 3x 59
990:2x 3x 3x 5x 11
600:2x 2x 2x 3x 5x 5
381:3x 127
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 82358380368000/(1x2160)
LCM = 82358380368000/2160
LCM = 38128879800
Thus, we can understand that the LCM of 514,708,990,600,381 is 38128879800.
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FAQs on LCM of 514, 708, 990, 600, 381
1. What is the LCM of 514, 708, 990, 600, 381?
Answer: LCM of 514, 708, 990, 600, 381 is 38128879800.
2. How to calculate the LCM of 514, 708, 990, 600, 381?
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 514, 708, 990, 600, 381.
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}.