Find the LCM of 675, 446, 669, 345 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, 446, 669, 345. So, keep reading to learn more.
Given numbers are 675,446,669,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 675,446,669,345 is 6924150.
Find LCM of 675,446,669,345 with Prime Factorization
3 | 675, 446, 669, 345 |
5 | 225, 446, 223, 115 |
223 | 45, 446, 223, 23 |
45, 2, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 223 x 45 x 2 x 1 x 23 = 6924150
Therefore, the lowest common multiple of 675,446,669,345 is 6924150.
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 446 x 669 x 345 = 69483845250
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
446 : 1, 2, 223, 446
669 : 1, 3, 223, 669
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,446,669,345, is 1.
Now, the common factors can be found like this.
675:3x 3x 3x 5x 5
446:2x 223
669:3x 223
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 223 = 10035
Therefore, the value for common factors is 10035.
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 = 69483845250/(1x10035)
LCM = 69483845250/10035
LCM = 6924150
Thus, we can understand that the LCM of 675,446,669,345 is 6924150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 675, 446, 669, 345?
Answer: LCM of 675, 446, 669, 345 is 6924150.
2. How to calculate the LCM of 675, 446, 669, 345?
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, 446, 669, 345.
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}.