LCM of 343, 396, 189, 556, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 396, 189, 556, 369 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, 396, 189, 556, 369. So, keep reading to learn more.
Given numbers are 343,396,189,556,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,396,189,556,369 is 2322251316.
Find LCM of 343,396,189,556,369 with Prime Factorization
| 2 | 343, 396, 189, 556, 369 |
| 2 | 343, 198, 189, 278, 369 |
| 3 | 343, 99, 189, 139, 369 |
| 3 | 343, 33, 63, 139, 123 |
| 7 | 343, 11, 21, 139, 41 |
| 49, 11, 3, 139, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 49 x 11 x 3 x 139 x 41 = 2322251316
Therefore, the lowest common multiple of 343,396,189,556,369 is 2322251316.
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 396 x 189 x 556 x 369 = 5266865984688
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
189 : 1, 3, 7, 9, 21, 27, 63, 189
556 : 1, 2, 4, 139, 278, 556
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,396,189,556,369, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
396:2x 2x 3x 3x 11
189:3x 3x 3x 7
556:2x 2x 139
369:3x 3x 41
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 3x 3x 3x 3x 7 = 2268
Therefore, the value for common factors is 2268.
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 = 5266865984688/(1x2268)
LCM = 5266865984688/2268
LCM = 2322251316
Thus, we can understand that the LCM of 343,396,189,556,369 is 2322251316.
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FAQs on LCM of 343, 396, 189, 556, 369
1. What is the LCM of 343, 396, 189, 556, 369?
Answer: LCM of 343, 396, 189, 556, 369 is 2322251316.
2. How to calculate the LCM of 343, 396, 189, 556, 369?
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, 396, 189, 556, 369.
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}.