Find the LCM of 425, 323, 624, 403 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 425, 323, 624, 403. So, keep reading to learn more.
Given numbers are 425,323,624,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 425,323,624,403 is 156202800.
Find LCM of 425,323,624,403 with Prime Factorization
13 | 425, 323, 624, 403 |
17 | 425, 323, 48, 31 |
25, 19, 48, 31 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 25 x 19 x 48 x 31 = 156202800
Therefore, the lowest common multiple of 425,323,624,403 is 156202800.
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.
425 x 323 x 624 x 403 = 34520818800
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.
425 : 1, 5, 17, 25, 85, 425
323 : 1, 17, 19, 323
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,323,624,403, is 1.
Now, the common factors can be found like this.
425:5x 5x 17
323:17x 19
624:2x 2x 2x 2x 3x 13
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 34520818800/(1x221)
LCM = 34520818800/221
LCM = 156202800
Thus, we can understand that the LCM of 425,323,624,403 is 156202800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 425, 323, 624, 403?
Answer: LCM of 425, 323, 624, 403 is 156202800.
2. How to calculate the LCM of 425, 323, 624, 403?
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 425, 323, 624, 403.
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}.