LCM of 343, 442, 343, 561, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 442, 343, 561, 131 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 343, 442, 343, 561, 131. So, keep reading to learn more.
Given numbers are 343,442,343,561,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,442,343,561,131 is 655392738.
Find LCM of 343,442,343,561,131 with Prime Factorization
| 7 | 343, 442, 343, 561, 131 |
| 7 | 49, 442, 49, 561, 131 |
| 7 | 7, 442, 7, 561, 131 |
| 17 | 1, 442, 1, 561, 131 |
| 1, 26, 1, 33, 131 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 7 x 17 x 1 x 26 x 1 x 33 x 131 = 655392738
Therefore, the lowest common multiple of 343,442,343,561,131 is 655392738.
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.
343 x 442 x 343 x 561 x 131 = 3821595055278
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.
343 : 1, 7, 49, 343
442 : 1, 2, 13, 17, 26, 34, 221, 442
343 : 1, 7, 49, 343
561 : 1, 3, 11, 17, 33, 51, 187, 561
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,442,343,561,131, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
442:2x 13x 17
343:7x 7x 7
561:3x 11x 17
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 17 = 5831
Therefore, the value for common factors is 5831.
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 = 3821595055278/(1x5831)
LCM = 3821595055278/5831
LCM = 655392738
Thus, we can understand that the LCM of 343,442,343,561,131 is 655392738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 343, 442, 343, 561, 131
1. What is the LCM of 343, 442, 343, 561, 131?
Answer: LCM of 343, 442, 343, 561, 131 is 655392738.
2. How to calculate the LCM of 343, 442, 343, 561, 131?
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 343, 442, 343, 561, 131.
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}.