LCM of 993, 432, 211, 505, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 432, 211, 505, 470 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, 432, 211, 505, 470. So, keep reading to learn more.
Given numbers are 993,432,211,505,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,432,211,505,470 is 716116090320.
Find LCM of 993,432,211,505,470 with Prime Factorization
| 2 | 993, 432, 211, 505, 470 |
| 3 | 993, 216, 211, 505, 235 |
| 5 | 331, 72, 211, 505, 235 |
| 331, 72, 211, 101, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 331 x 72 x 211 x 101 x 47 = 716116090320
Therefore, the lowest common multiple of 993,432,211,505,470 is 716116090320.
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 432 x 211 x 505 x 470 = 21483482709600
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
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
211 : 1, 211
505 : 1, 5, 101, 505
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,432,211,505,470, is 1.
Now, the common factors can be found like this.
993:3x 331
432:2x 2x 2x 2x 3x 3x 3
211:211
505:5x 101
470:2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 21483482709600/(1x30)
LCM = 21483482709600/30
LCM = 716116090320
Thus, we can understand that the LCM of 993,432,211,505,470 is 716116090320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 432, 211, 505, 470
1. What is the LCM of 993, 432, 211, 505, 470?
Answer: LCM of 993, 432, 211, 505, 470 is 716116090320.
2. How to calculate the LCM of 993, 432, 211, 505, 470?
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, 432, 211, 505, 470.
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}.