Find the LCM of 699, 585, 340, 603, 346 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 699, 585, 340, 603, 346. So, keep reading to learn more.
Given numbers are 699,585,340,603,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,585,340,603,346 is 107433965340.
Find LCM of 699,585,340,603,346 with Prime Factorization
2 | 699, 585, 340, 603, 346 |
3 | 699, 585, 170, 603, 173 |
3 | 233, 195, 170, 201, 173 |
5 | 233, 65, 170, 67, 173 |
233, 13, 34, 67, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 233 x 13 x 34 x 67 x 173 = 107433965340
Therefore, the lowest common multiple of 699,585,340,603,346 is 107433965340.
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.
699 x 585 x 340 x 603 x 346 = 29007170641800
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.
699 : 1, 3, 233, 699
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
603 : 1, 3, 9, 67, 201, 603
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,585,340,603,346, is 1.
Now, the common factors can be found like this.
699:3x 233
585:3x 3x 5x 13
340:2x 2x 5x 17
603:3x 3x 67
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 29007170641800/(1x270)
LCM = 29007170641800/270
LCM = 107433965340
Thus, we can understand that the LCM of 699,585,340,603,346 is 107433965340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 699, 585, 340, 603, 346?
Answer: LCM of 699, 585, 340, 603, 346 is 107433965340.
2. How to calculate the LCM of 699, 585, 340, 603, 346?
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 699, 585, 340, 603, 346.
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}.