Find the LCM of 454, 688, 156, 771, 344 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 454, 688, 156, 771, 344. So, keep reading to learn more.
Given numbers are 454,688,156,771,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,688,156,771,344 is 1565352048.
Find LCM of 454,688,156,771,344 with Prime Factorization
2 | 454, 688, 156, 771, 344 |
2 | 227, 344, 78, 771, 172 |
2 | 227, 86, 39, 771, 172 |
3 | 227, 43, 39, 771, 86 |
43 | 227, 43, 13, 257, 86 |
227, 1, 13, 257, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 43 x 227 x 1 x 13 x 257 x 2 = 1565352048
Therefore, the lowest common multiple of 454,688,156,771,344 is 1565352048.
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.
454 x 688 x 156 x 771 x 344 = 12923546508288
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.
454 : 1, 2, 227, 454
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
771 : 1, 3, 257, 771
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,688,156,771,344, is 1.
Now, the common factors can be found like this.
454:2x 227
688:2x 2x 2x 2x 43
156:2x 2x 3x 13
771:3x 257
344:2x 2x 2x 43
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 2x 2x 3x 43 = 8256
Therefore, the value for common factors is 8256.
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 = 12923546508288/(1x8256)
LCM = 12923546508288/8256
LCM = 1565352048
Thus, we can understand that the LCM of 454,688,156,771,344 is 1565352048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 688, 156, 771, 344?
Answer: LCM of 454, 688, 156, 771, 344 is 1565352048.
2. How to calculate the LCM of 454, 688, 156, 771, 344?
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 454, 688, 156, 771, 344.
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}.