Find the LCM of 603, 687, 125, 807, 322 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 603, 687, 125, 807, 322. So, keep reading to learn more.
Given numbers are 603,687,125,807,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,687,125,807,322 is 1495102470750.
Find LCM of 603,687,125,807,322 with Prime Factorization
3 | 603, 687, 125, 807, 322 |
201, 229, 125, 269, 322 |
Multiply the prime numbers at the bottom and the left side.
3 x 201 x 229 x 125 x 269 x 322 = 1495102470750
Therefore, the lowest common multiple of 603,687,125,807,322 is 1495102470750.
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.
603 x 687 x 125 x 807 x 322 = 13455922236750
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.
603 : 1, 3, 9, 67, 201, 603
687 : 1, 3, 229, 687
125 : 1, 5, 25, 125
807 : 1, 3, 269, 807
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,687,125,807,322, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
687:3x 229
125:5x 5x 5
807:3x 269
322:2x 7x 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 3 = 9
Therefore, the value for common factors is 9.
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 = 13455922236750/(1x9)
LCM = 13455922236750/9
LCM = 1495102470750
Thus, we can understand that the LCM of 603,687,125,807,322 is 1495102470750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 603, 687, 125, 807, 322?
Answer: LCM of 603, 687, 125, 807, 322 is 1495102470750.
2. How to calculate the LCM of 603, 687, 125, 807, 322?
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 603, 687, 125, 807, 322.
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}.