LCM of 359, 693, 458, 567, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 693, 458, 567, 359 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 359, 693, 458, 567, 359. So, keep reading to learn more.
Given numbers are 359,693,458,567,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,693,458,567,359 is 1025500014.
Find LCM of 359,693,458,567,359 with Prime Factorization
| 3 | 359, 693, 458, 567, 359 |
| 3 | 359, 231, 458, 189, 359 |
| 7 | 359, 77, 458, 63, 359 |
| 359 | 359, 11, 458, 9, 359 |
| 1, 11, 458, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 359 x 1 x 11 x 458 x 9 x 1 = 1025500014
Therefore, the lowest common multiple of 359,693,458,567,359 is 1025500014.
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.
359 x 693 x 458 x 567 x 359 = 23193733816638
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.
359 : 1, 359
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
458 : 1, 2, 229, 458
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,693,458,567,359, is 1.
Now, the common factors can be found like this.
359:359
693:3x 3x 7x 11
458:2x 229
567:3x 3x 3x 3x 7
359:359
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 359 = 22617
Therefore, the value for common factors is 22617.
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 = 23193733816638/(1x22617)
LCM = 23193733816638/22617
LCM = 1025500014
Thus, we can understand that the LCM of 359,693,458,567,359 is 1025500014.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 359, 693, 458, 567, 359
1. What is the LCM of 359, 693, 458, 567, 359?
Answer: LCM of 359, 693, 458, 567, 359 is 1025500014.
2. How to calculate the LCM of 359, 693, 458, 567, 359?
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 359, 693, 458, 567, 359.
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}.