Find the LCM of 657, 210, 728, 755, 488 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 657, 210, 728, 755, 488. So, keep reading to learn more.
Given numbers are 657,210,728,755,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,210,728,755,488 is 22027922280.
Find LCM of 657,210,728,755,488 with Prime Factorization
2 | 657, 210, 728, 755, 488 |
2 | 657, 105, 364, 755, 244 |
2 | 657, 105, 182, 755, 122 |
3 | 657, 105, 91, 755, 61 |
5 | 219, 35, 91, 755, 61 |
7 | 219, 7, 91, 151, 61 |
219, 1, 13, 151, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 219 x 1 x 13 x 151 x 61 = 22027922280
Therefore, the lowest common multiple of 657,210,728,755,488 is 22027922280.
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.
657 x 210 x 728 x 755 x 488 = 37006909430400
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.
657 : 1, 3, 9, 73, 219, 657
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
755 : 1, 5, 151, 755
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,210,728,755,488, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
210:2x 3x 5x 7
728:2x 2x 2x 7x 13
755:5x 151
488:2x 2x 2x 61
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 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 37006909430400/(1x1680)
LCM = 37006909430400/1680
LCM = 22027922280
Thus, we can understand that the LCM of 657,210,728,755,488 is 22027922280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 210, 728, 755, 488?
Answer: LCM of 657, 210, 728, 755, 488 is 22027922280.
2. How to calculate the LCM of 657, 210, 728, 755, 488?
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 657, 210, 728, 755, 488.
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}.