LCM of 993, 731, 771, 291, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 731, 771, 291, 215 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, 731, 771, 291, 215. So, keep reading to learn more.
Given numbers are 993,731,771,291,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,731,771,291,215 is 90477686535.
Find LCM of 993,731,771,291,215 with Prime Factorization
| 3 | 993, 731, 771, 291, 215 |
| 43 | 331, 731, 257, 97, 215 |
| 331, 17, 257, 97, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 331 x 17 x 257 x 97 x 5 = 90477686535
Therefore, the lowest common multiple of 993,731,771,291,215 is 90477686535.
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 731 x 771 x 291 x 215 = 35014864689045
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
731 : 1, 17, 43, 731
771 : 1, 3, 257, 771
291 : 1, 3, 97, 291
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,731,771,291,215, is 1.
Now, the common factors can be found like this.
993:3x 331
731:17x 43
771:3x 257
291:3x 97
215:5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 43 = 387
Therefore, the value for common factors is 387.
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 = 35014864689045/(1x387)
LCM = 35014864689045/387
LCM = 90477686535
Thus, we can understand that the LCM of 993,731,771,291,215 is 90477686535.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 731, 771, 291, 215
1. What is the LCM of 993, 731, 771, 291, 215?
Answer: LCM of 993, 731, 771, 291, 215 is 90477686535.
2. How to calculate the LCM of 993, 731, 771, 291, 215?
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, 731, 771, 291, 215.
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}.