Find the LCM of 584, 691, 290, 803, 512 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 584, 691, 290, 803, 512. So, keep reading to learn more.
Given numbers are 584,691,290,803,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,691,290,803,512 is 41193771520.
Find LCM of 584,691,290,803,512 with Prime Factorization
2 | 584, 691, 290, 803, 512 |
2 | 292, 691, 145, 803, 256 |
2 | 146, 691, 145, 803, 128 |
73 | 73, 691, 145, 803, 64 |
1, 691, 145, 11, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 73 x 1 x 691 x 145 x 11 x 64 = 41193771520
Therefore, the lowest common multiple of 584,691,290,803,512 is 41193771520.
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.
584 x 691 x 290 x 803 x 512 = 48114325135360
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
691 : 1, 691
290 : 1, 2, 5, 10, 29, 58, 145, 290
803 : 1, 11, 73, 803
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,691,290,803,512, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
691:691
290:2x 5x 29
803:11x 73
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 73 = 1168
Therefore, the value for common factors is 1168.
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 = 48114325135360/(1x1168)
LCM = 48114325135360/1168
LCM = 41193771520
Thus, we can understand that the LCM of 584,691,290,803,512 is 41193771520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 691, 290, 803, 512?
Answer: LCM of 584, 691, 290, 803, 512 is 41193771520.
2. How to calculate the LCM of 584, 691, 290, 803, 512?
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 584, 691, 290, 803, 512.
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}.