LCM of 578, 338, 546, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 338, 546, 897 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, 338, 546, 897. So, keep reading to learn more.
Given numbers are 578,338,546,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,338,546,897 is 47180406.
Find LCM of 578,338,546,897 with Prime Factorization
| 2 | 578, 338, 546, 897 |
| 3 | 289, 169, 273, 897 |
| 13 | 289, 169, 91, 299 |
| 289, 13, 7, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 289 x 13 x 7 x 23 = 47180406
Therefore, the lowest common multiple of 578,338,546,897 is 47180406.
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 338 x 546 x 897 = 95681863368
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
338 : 1, 2, 13, 26, 169, 338
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,338,546,897, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
338:2x 13x 13
546:2x 3x 7x 13
897:3x 13x 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 3x 13x 13 = 2028
Therefore, the value for common factors is 2028.
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 = 95681863368/(1x2028)
LCM = 95681863368/2028
LCM = 47180406
Thus, we can understand that the LCM of 578,338,546,897 is 47180406.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 338, 546, 897
1. What is the LCM of 578, 338, 546, 897?
Answer: LCM of 578, 338, 546, 897 is 47180406.
2. How to calculate the LCM of 578, 338, 546, 897?
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, 338, 546, 897.
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}.