Find the LCM of 343, 609, 409, 803, 365 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, 609, 409, 803, 365. So, keep reading to learn more.
Given numbers are 343,609,409,803,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,609,409,803,365 is 49002950535.
Find LCM of 343,609,409,803,365 with Prime Factorization
7 | 343, 609, 409, 803, 365 |
73 | 49, 87, 409, 803, 365 |
49, 87, 409, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 73 x 49 x 87 x 409 x 11 x 5 = 49002950535
Therefore, the lowest common multiple of 343,609,409,803,365 is 49002950535.
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 609 x 409 x 803 x 365 = 25040507723385
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
409 : 1, 409
803 : 1, 11, 73, 803
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,609,409,803,365, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
609:3x 7x 29
409:409
803:11x 73
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 73 = 511
Therefore, the value for common factors is 511.
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 = 25040507723385/(1x511)
LCM = 25040507723385/511
LCM = 49002950535
Thus, we can understand that the LCM of 343,609,409,803,365 is 49002950535.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 609, 409, 803, 365?
Answer: LCM of 343, 609, 409, 803, 365 is 49002950535.
2. How to calculate the LCM of 343, 609, 409, 803, 365?
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, 609, 409, 803, 365.
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}.