Find the LCM of 344, 133, 678, 304, 533 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 344, 133, 678, 304, 533. So, keep reading to learn more.
Given numbers are 344,133,678,304,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,133,678,304,533 is 16533583248.
Find LCM of 344,133,678,304,533 with Prime Factorization
2 | 344, 133, 678, 304, 533 |
2 | 172, 133, 339, 152, 533 |
2 | 86, 133, 339, 76, 533 |
19 | 43, 133, 339, 38, 533 |
43, 7, 339, 2, 533 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 43 x 7 x 339 x 2 x 533 = 16533583248
Therefore, the lowest common multiple of 344,133,678,304,533 is 16533583248.
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.
344 x 133 x 678 x 304 x 533 = 5026209307392
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
133 : 1, 7, 19, 133
678 : 1, 2, 3, 6, 113, 226, 339, 678
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,133,678,304,533, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
133:7x 19
678:2x 3x 113
304:2x 2x 2x 2x 19
533:13x 41
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 19 = 304
Therefore, the value for common factors is 304.
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 = 5026209307392/(1x304)
LCM = 5026209307392/304
LCM = 16533583248
Thus, we can understand that the LCM of 344,133,678,304,533 is 16533583248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 344, 133, 678, 304, 533?
Answer: LCM of 344, 133, 678, 304, 533 is 16533583248.
2. How to calculate the LCM of 344, 133, 678, 304, 533?
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 344, 133, 678, 304, 533.
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}.