LCM of 105, 343, 385, 440, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 343, 385, 440, 590 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 105, 343, 385, 440, 590. So, keep reading to learn more.
Given numbers are 105,343,385,440,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,343,385,440,590 is 26712840.
Find LCM of 105,343,385,440,590 with Prime Factorization
| 2 | 105, 343, 385, 440, 590 |
| 5 | 105, 343, 385, 220, 295 |
| 7 | 21, 343, 77, 44, 59 |
| 11 | 3, 49, 11, 44, 59 |
| 3, 49, 1, 4, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 3 x 49 x 1 x 4 x 59 = 26712840
Therefore, the lowest common multiple of 105,343,385,440,590 is 26712840.
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.
105 x 343 x 385 x 440 x 590 = 3599555190000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
343 : 1, 7, 49, 343
385 : 1, 5, 7, 11, 35, 55, 77, 385
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,343,385,440,590, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
343:7x 7x 7
385:5x 7x 11
440:2x 2x 2x 5x 11
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5x 7x 7x 11 = 134750
Therefore, the value for common factors is 134750.
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 = 3599555190000/(1x134750)
LCM = 3599555190000/134750
LCM = 26712840
Thus, we can understand that the LCM of 105,343,385,440,590 is 26712840.
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FAQs on LCM of 105, 343, 385, 440, 590
1. What is the LCM of 105, 343, 385, 440, 590?
Answer: LCM of 105, 343, 385, 440, 590 is 26712840.
2. How to calculate the LCM of 105, 343, 385, 440, 590?
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 105, 343, 385, 440, 590.
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}.