LCM of 523, 305, 706, 590, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 305, 706, 590, 338 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 523, 305, 706, 590, 338. So, keep reading to learn more.
Given numbers are 523,305,706,590,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,305,706,590,338 is 1122909989890.
Find LCM of 523,305,706,590,338 with Prime Factorization
| 2 | 523, 305, 706, 590, 338 |
| 5 | 523, 305, 353, 295, 169 |
| 523, 61, 353, 59, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 523 x 61 x 353 x 59 x 169 = 1122909989890
Therefore, the lowest common multiple of 523,305,706,590,338 is 1122909989890.
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.
523 x 305 x 706 x 590 x 338 = 22458199797800
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.
523 : 1, 523
305 : 1, 5, 61, 305
706 : 1, 2, 353, 706
590 : 1, 2, 5, 10, 59, 118, 295, 590
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,305,706,590,338, is 1.
Now, the common factors can be found like this.
523:523
305:5x 61
706:2x 353
590:2x 5x 59
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 22458199797800/(1x20)
LCM = 22458199797800/20
LCM = 1122909989890
Thus, we can understand that the LCM of 523,305,706,590,338 is 1122909989890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 305, 706, 590, 338
1. What is the LCM of 523, 305, 706, 590, 338?
Answer: LCM of 523, 305, 706, 590, 338 is 1122909989890.
2. How to calculate the LCM of 523, 305, 706, 590, 338?
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 523, 305, 706, 590, 338.
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}.