Find the LCM of 321, 668, 334, 754 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 321, 668, 334, 754. So, keep reading to learn more.
Given numbers are 321,668,334,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,668,334,754 is 80839356.
Find LCM of 321,668,334,754 with Prime Factorization
2 | 321, 668, 334, 754 |
167 | 321, 334, 167, 377 |
321, 2, 1, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 167 x 321 x 2 x 1 x 377 = 80839356
Therefore, the lowest common multiple of 321,668,334,754 is 80839356.
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.
321 x 668 x 334 x 754 = 54000689808
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.
321 : 1, 3, 107, 321
668 : 1, 2, 4, 167, 334, 668
334 : 1, 2, 167, 334
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,668,334,754, is 1.
Now, the common factors can be found like this.
321:3x 107
668:2x 2x 167
334:2x 167
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 167 = 668
Therefore, the value for common factors is 668.
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 = 54000689808/(1x668)
LCM = 54000689808/668
LCM = 80839356
Thus, we can understand that the LCM of 321,668,334,754 is 80839356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 668, 334, 754?
Answer: LCM of 321, 668, 334, 754 is 80839356.
2. How to calculate the LCM of 321, 668, 334, 754?
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 321, 668, 334, 754.
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}.