Find the LCM of 460, 377, 339, 203 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 460, 377, 339, 203. So, keep reading to learn more.
Given numbers are 460,377,339,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,377,339,203 is 411525660.
Find LCM of 460,377,339,203 with Prime Factorization
29 | 460, 377, 339, 203 |
460, 13, 339, 7 |
Multiply the prime numbers at the bottom and the left side.
29 x 460 x 13 x 339 x 7 = 411525660
Therefore, the lowest common multiple of 460,377,339,203 is 411525660.
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.
460 x 377 x 339 x 203 = 11934244140
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
377 : 1, 13, 29, 377
339 : 1, 3, 113, 339
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,377,339,203, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
377:13x 29
339:3x 113
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 11934244140/(1x29)
LCM = 11934244140/29
LCM = 411525660
Thus, we can understand that the LCM of 460,377,339,203 is 411525660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 377, 339, 203?
Answer: LCM of 460, 377, 339, 203 is 411525660.
2. How to calculate the LCM of 460, 377, 339, 203?
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 460, 377, 339, 203.
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}.