Find the LCM of 545, 694, 608, 644, 544 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 545, 694, 608, 644, 544. So, keep reading to learn more.
Given numbers are 545,694,608,644,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,694,608,644,544 is 314705515040.
Find LCM of 545,694,608,644,544 with Prime Factorization
2 | 545, 694, 608, 644, 544 |
2 | 545, 347, 304, 322, 272 |
2 | 545, 347, 152, 161, 136 |
2 | 545, 347, 76, 161, 68 |
2 | 545, 347, 38, 161, 34 |
545, 347, 19, 161, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 545 x 347 x 19 x 161 x 17 = 314705515040
Therefore, the lowest common multiple of 545,694,608,644,544 is 314705515040.
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.
545 x 694 x 608 x 644 x 544 = 80564611850240
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.
545 : 1, 5, 109, 545
694 : 1, 2, 347, 694
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,694,608,644,544, is 1.
Now, the common factors can be found like this.
545:5x 109
694:2x 347
608:2x 2x 2x 2x 2x 19
644:2x 2x 7x 23
544:2x 2x 2x 2x 2x 17
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 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 80564611850240/(1x256)
LCM = 80564611850240/256
LCM = 314705515040
Thus, we can understand that the LCM of 545,694,608,644,544 is 314705515040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 545, 694, 608, 644, 544?
Answer: LCM of 545, 694, 608, 644, 544 is 314705515040.
2. How to calculate the LCM of 545, 694, 608, 644, 544?
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 545, 694, 608, 644, 544.
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}.