LCM of 993, 570, 710, 393, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 570, 710, 393, 600 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 993, 570, 710, 393, 600. So, keep reading to learn more.
Given numbers are 993,570,710,393,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,570,710,393,600 is 35096393400.
Find LCM of 993,570,710,393,600 with Prime Factorization
| 2 | 993, 570, 710, 393, 600 |
| 3 | 993, 285, 355, 393, 300 |
| 5 | 331, 95, 355, 131, 100 |
| 331, 19, 71, 131, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 331 x 19 x 71 x 131 x 20 = 35096393400
Therefore, the lowest common multiple of 993,570,710,393,600 is 35096393400.
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.
993 x 570 x 710 x 393 x 600 = 94760262180000
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.
993 : 1, 3, 331, 993
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
710 : 1, 2, 5, 10, 71, 142, 355, 710
393 : 1, 3, 131, 393
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,570,710,393,600, is 1.
Now, the common factors can be found like this.
993:3x 331
570:2x 3x 5x 19
710:2x 5x 71
393:3x 131
600:2x 2x 2x 3x 5x 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 3x 3x 3x 5x 5 = 2700
Therefore, the value for common factors is 2700.
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 = 94760262180000/(1x2700)
LCM = 94760262180000/2700
LCM = 35096393400
Thus, we can understand that the LCM of 993,570,710,393,600 is 35096393400.
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FAQs on LCM of 993, 570, 710, 393, 600
1. What is the LCM of 993, 570, 710, 393, 600?
Answer: LCM of 993, 570, 710, 393, 600 is 35096393400.
2. How to calculate the LCM of 993, 570, 710, 393, 600?
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 993, 570, 710, 393, 600.
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}.