LCM of 558, 651, 233, 399, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 651, 233, 399, 523 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 558, 651, 233, 399, 523. So, keep reading to learn more.
Given numbers are 558,651,233,399,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,651,233,399,523 is 9043643826.
Find LCM of 558,651,233,399,523 with Prime Factorization
| 3 | 558, 651, 233, 399, 523 |
| 7 | 186, 217, 233, 133, 523 |
| 31 | 186, 31, 233, 19, 523 |
| 6, 1, 233, 19, 523 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 31 x 6 x 1 x 233 x 19 x 523 = 9043643826
Therefore, the lowest common multiple of 558,651,233,399,523 is 9043643826.
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.
558 x 651 x 233 x 399 x 523 = 17662236392178
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
651 : 1, 3, 7, 21, 31, 93, 217, 651
233 : 1, 233
399 : 1, 3, 7, 19, 21, 57, 133, 399
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,651,233,399,523, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
651:3x 7x 31
233:233
399:3x 7x 19
523:523
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 31 = 1953
Therefore, the value for common factors is 1953.
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 = 17662236392178/(1x1953)
LCM = 17662236392178/1953
LCM = 9043643826
Thus, we can understand that the LCM of 558,651,233,399,523 is 9043643826.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 651, 233, 399, 523
1. What is the LCM of 558, 651, 233, 399, 523?
Answer: LCM of 558, 651, 233, 399, 523 is 9043643826.
2. How to calculate the LCM of 558, 651, 233, 399, 523?
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 558, 651, 233, 399, 523.
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}.