LCM of 578, 897, 533, 483
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 897, 533, 483 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 578, 897, 533, 483. So, keep reading to learn more.
Given numbers are 578,897,533,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,897,533,483 is 148799742.
Find LCM of 578,897,533,483 with Prime Factorization
| 3 | 578, 897, 533, 483 |
| 13 | 578, 299, 533, 161 |
| 23 | 578, 23, 41, 161 |
| 578, 1, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 578 x 1 x 41 x 7 = 148799742
Therefore, the lowest common multiple of 578,897,533,483 is 148799742.
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.
578 x 897 x 533 x 483 = 133473368574
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.
578 : 1, 2, 17, 34, 289, 578
897 : 1, 3, 13, 23, 39, 69, 299, 897
533 : 1, 13, 41, 533
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,897,533,483, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
897:3x 13x 23
533:13x 41
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 23 = 897
Therefore, the value for common factors is 897.
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 = 133473368574/(1x897)
LCM = 133473368574/897
LCM = 148799742
Thus, we can understand that the LCM of 578,897,533,483 is 148799742.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 578, 897, 533, 483
1. What is the LCM of 578, 897, 533, 483?
Answer: LCM of 578, 897, 533, 483 is 148799742.
2. How to calculate the LCM of 578, 897, 533, 483?
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 578, 897, 533, 483.
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}.