Find the LCM of 409, 656, 398, 624, 233 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 409, 656, 398, 624, 233. So, keep reading to learn more.
Given numbers are 409,656,398,624,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,656,398,624,233 is 485177611152.
Find LCM of 409,656,398,624,233 with Prime Factorization
2 | 409, 656, 398, 624, 233 |
2 | 409, 328, 199, 312, 233 |
2 | 409, 164, 199, 156, 233 |
2 | 409, 82, 199, 78, 233 |
409, 41, 199, 39, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 409 x 41 x 199 x 39 x 233 = 485177611152
Therefore, the lowest common multiple of 409,656,398,624,233 is 485177611152.
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.
409 x 656 x 398 x 624 x 233 = 15525683556864
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.
409 : 1, 409
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
398 : 1, 2, 199, 398
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,656,398,624,233, is 1.
Now, the common factors can be found like this.
409:409
656:2x 2x 2x 2x 41
398:2x 199
624:2x 2x 2x 2x 3x 13
233:233
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 15525683556864/(1x32)
LCM = 15525683556864/32
LCM = 485177611152
Thus, we can understand that the LCM of 409,656,398,624,233 is 485177611152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 656, 398, 624, 233?
Answer: LCM of 409, 656, 398, 624, 233 is 485177611152.
2. How to calculate the LCM of 409, 656, 398, 624, 233?
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 409, 656, 398, 624, 233.
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}.