LCM of 587, 901, 357, 903, 243
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 901, 357, 903, 243 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 587, 901, 357, 903, 243. So, keep reading to learn more.
Given numbers are 587,901,357,903,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,901,357,903,243 is 38684381841.
Find LCM of 587,901,357,903,243 with Prime Factorization
| 3 | 587, 901, 357, 903, 243 |
| 7 | 587, 901, 119, 301, 81 |
| 17 | 587, 901, 17, 43, 81 |
| 587, 53, 1, 43, 81 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 587 x 53 x 1 x 43 x 81 = 38684381841
Therefore, the lowest common multiple of 587,901,357,903,243 is 38684381841.
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.
587 x 901 x 357 x 903 x 243 = 41430972951711
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.
587 : 1, 587
901 : 1, 17, 53, 901
357 : 1, 3, 7, 17, 21, 51, 119, 357
903 : 1, 3, 7, 21, 43, 129, 301, 903
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,901,357,903,243, is 1.
Now, the common factors can be found like this.
587:587
901:17x 53
357:3x 7x 17
903:3x 7x 43
243:3x 3x 3x 3x 3
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 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 41430972951711/(1x1071)
LCM = 41430972951711/1071
LCM = 38684381841
Thus, we can understand that the LCM of 587,901,357,903,243 is 38684381841.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 587, 901, 357, 903, 243
1. What is the LCM of 587, 901, 357, 903, 243?
Answer: LCM of 587, 901, 357, 903, 243 is 38684381841.
2. How to calculate the LCM of 587, 901, 357, 903, 243?
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 587, 901, 357, 903, 243.
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}.