Find the LCM of 673, 323, 469, 708, 578 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 673, 323, 469, 708, 578. So, keep reading to learn more.
Given numbers are 673,323,469,708,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,323,469,708,578 is 1227079239036.
Find LCM of 673,323,469,708,578 with Prime Factorization
2 | 673, 323, 469, 708, 578 |
17 | 673, 323, 469, 354, 289 |
673, 19, 469, 354, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 673 x 19 x 469 x 354 x 17 = 1227079239036
Therefore, the lowest common multiple of 673,323,469,708,578 is 1227079239036.
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.
673 x 323 x 469 x 708 x 578 = 41720694127224
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.
673 : 1, 673
323 : 1, 17, 19, 323
469 : 1, 7, 67, 469
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,323,469,708,578, is 1.
Now, the common factors can be found like this.
673:673
323:17x 19
469:7x 67
708:2x 2x 3x 59
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 41720694127224/(1x34)
LCM = 41720694127224/34
LCM = 1227079239036
Thus, we can understand that the LCM of 673,323,469,708,578 is 1227079239036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 673, 323, 469, 708, 578?
Answer: LCM of 673, 323, 469, 708, 578 is 1227079239036.
2. How to calculate the LCM of 673, 323, 469, 708, 578?
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 673, 323, 469, 708, 578.
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}.