Find the LCM of 415, 329, 680, 435 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 415, 329, 680, 435. So, keep reading to learn more.
Given numbers are 415,329,680,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,329,680,435 is 1615482120.
Find LCM of 415,329,680,435 with Prime Factorization
5 | 415, 329, 680, 435 |
83, 329, 136, 87 |
Multiply the prime numbers at the bottom and the left side.
5 x 83 x 329 x 136 x 87 = 1615482120
Therefore, the lowest common multiple of 415,329,680,435 is 1615482120.
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.
415 x 329 x 680 x 435 = 40387053000
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.
415 : 1, 5, 83, 415
329 : 1, 7, 47, 329
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,329,680,435, is 1.
Now, the common factors can be found like this.
415:5x 83
329:7x 47
680:2x 2x 2x 5x 17
435:3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 40387053000/(1x25)
LCM = 40387053000/25
LCM = 1615482120
Thus, we can understand that the LCM of 415,329,680,435 is 1615482120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 415, 329, 680, 435?
Answer: LCM of 415, 329, 680, 435 is 1615482120.
2. How to calculate the LCM of 415, 329, 680, 435?
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 415, 329, 680, 435.
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}.