LCM of 706, 993, 331, 580, 290
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 993, 331, 580, 290 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 706, 993, 331, 580, 290. So, keep reading to learn more.
Given numbers are 706,993,331,580,290
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,993,331,580,290 is 203306820.
Find LCM of 706,993,331,580,290 with Prime Factorization
| 2 | 706, 993, 331, 580, 290 |
| 5 | 353, 993, 331, 290, 145 |
| 29 | 353, 993, 331, 58, 29 |
| 331 | 353, 993, 331, 2, 1 |
| 353, 3, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 331 x 353 x 3 x 1 x 2 x 1 = 203306820
Therefore, the lowest common multiple of 706,993,331,580,290 is 203306820.
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.
706 x 993 x 331 x 580 x 290 = 39030843303600
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.
706 : 1, 2, 353, 706
993 : 1, 3, 331, 993
331 : 1, 331
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
290 : 1, 2, 5, 10, 29, 58, 145, 290
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,993,331,580,290, is 1.
Now, the common factors can be found like this.
706:2x 353
993:3x 331
331:331
580:2x 2x 5x 29
290:2x 5x 29
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 5x 29x 331 = 191980
Therefore, the value for common factors is 191980.
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 = 39030843303600/(1x191980)
LCM = 39030843303600/191980
LCM = 203306820
Thus, we can understand that the LCM of 706,993,331,580,290 is 203306820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 993, 331, 580, 290
1. What is the LCM of 706, 993, 331, 580, 290?
Answer: LCM of 706, 993, 331, 580, 290 is 203306820.
2. How to calculate the LCM of 706, 993, 331, 580, 290?
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 706, 993, 331, 580, 290.
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}.