Find the LCM of 514, 128, 771, 715, 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 514, 128, 771, 715, 488. So, keep reading to learn more.
Given numbers are 514,128,771,715,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,128,771,715,488 is 4304277120.
Find LCM of 514,128,771,715,488 with Prime Factorization
2 | 514, 128, 771, 715, 488 |
2 | 257, 64, 771, 715, 244 |
2 | 257, 32, 771, 715, 122 |
257 | 257, 16, 771, 715, 61 |
1, 16, 3, 715, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 257 x 1 x 16 x 3 x 715 x 61 = 4304277120
Therefore, the lowest common multiple of 514,128,771,715,488 is 4304277120.
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.
514 x 128 x 771 x 715 x 488 = 17699187517440
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.
514 : 1, 2, 257, 514
128 : 1, 2, 4, 8, 16, 32, 64, 128
771 : 1, 3, 257, 771
715 : 1, 5, 11, 13, 55, 65, 143, 715
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 514,128,771,715,488, is 1.
Now, the common factors can be found like this.
514:2x 257
128:2x 2x 2x 2x 2x 2x 2
771:3x 257
715:5x 11x 13
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 257 = 4112
Therefore, the value for common factors is 4112.
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 = 17699187517440/(1x4112)
LCM = 17699187517440/4112
LCM = 4304277120
Thus, we can understand that the LCM of 514,128,771,715,488 is 4304277120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 128, 771, 715, 488?
Answer: LCM of 514, 128, 771, 715, 488 is 4304277120.
2. How to calculate the LCM of 514, 128, 771, 715, 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 514, 128, 771, 715, 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}.