Find the LCM of 584, 869, 552, 828, 230 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, 869, 552, 828, 230. So, keep reading to learn more.
Given numbers are 584,869,552,828,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,869,552,828,230 is 525258360.
Find LCM of 584,869,552,828,230 with Prime Factorization
2 | 584, 869, 552, 828, 230 |
2 | 292, 869, 276, 414, 115 |
2 | 146, 869, 138, 207, 115 |
3 | 73, 869, 69, 207, 115 |
23 | 73, 869, 23, 69, 115 |
73, 869, 1, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 73 x 869 x 1 x 3 x 5 = 525258360
Therefore, the lowest common multiple of 584,869,552,828,230 is 525258360.
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 869 x 552 x 828 x 230 = 53349441108480
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
869 : 1, 11, 79, 869
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,869,552,828,230, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
869:11x 79
552:2x 2x 2x 3x 23
828:2x 2x 3x 3x 23
230:2x 5x 23
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 3x 23x 23 = 101568
Therefore, the value for common factors is 101568.
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 = 53349441108480/(1x101568)
LCM = 53349441108480/101568
LCM = 525258360
Thus, we can understand that the LCM of 584,869,552,828,230 is 525258360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 869, 552, 828, 230?
Answer: LCM of 584, 869, 552, 828, 230 is 525258360.
2. How to calculate the LCM of 584, 869, 552, 828, 230?
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, 869, 552, 828, 230.
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}.