LCM of 343, 361, 290, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 361, 290, 514 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, 361, 290, 514. So, keep reading to learn more.
Given numbers are 343,361,290,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,361,290,514 is 9228528190.
Find LCM of 343,361,290,514 with Prime Factorization
| 2 | 343, 361, 290, 514 |
| 343, 361, 145, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 343 x 361 x 145 x 257 = 9228528190
Therefore, the lowest common multiple of 343,361,290,514 is 9228528190.
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 361 x 290 x 514 = 18457056380
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
361 : 1, 19, 361
290 : 1, 2, 5, 10, 29, 58, 145, 290
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,361,290,514, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
361:19x 19
290:2x 5x 29
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 18457056380/(1x2)
LCM = 18457056380/2
LCM = 9228528190
Thus, we can understand that the LCM of 343,361,290,514 is 9228528190.
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FAQs on LCM of 343, 361, 290, 514
1. What is the LCM of 343, 361, 290, 514?
Answer: LCM of 343, 361, 290, 514 is 9228528190.
2. How to calculate the LCM of 343, 361, 290, 514?
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, 361, 290, 514.
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}.