Find the LCM of 675, 352, 407, 245 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 675, 352, 407, 245. So, keep reading to learn more.
Given numbers are 675,352,407,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,352,407,245 is 430768800.
Find LCM of 675,352,407,245 with Prime Factorization
5 | 675, 352, 407, 245 |
11 | 135, 352, 407, 49 |
135, 32, 37, 49 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 135 x 32 x 37 x 49 = 430768800
Therefore, the lowest common multiple of 675,352,407,245 is 430768800.
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.
675 x 352 x 407 x 245 = 23692284000
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.
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
407 : 1, 11, 37, 407
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,352,407,245, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
352:2x 2x 2x 2x 2x 11
407:11x 37
245:5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 23692284000/(1x55)
LCM = 23692284000/55
LCM = 430768800
Thus, we can understand that the LCM of 675,352,407,245 is 430768800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 675, 352, 407, 245?
Answer: LCM of 675, 352, 407, 245 is 430768800.
2. How to calculate the LCM of 675, 352, 407, 245?
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 675, 352, 407, 245.
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}.