LCM of 578, 486, 326, 694, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 486, 326, 694, 834 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, 486, 326, 694, 834. So, keep reading to learn more.
Given numbers are 578,486,326,694,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,486,326,694,834 is 1104246398466.
Find LCM of 578,486,326,694,834 with Prime Factorization
| 2 | 578, 486, 326, 694, 834 |
| 3 | 289, 243, 163, 347, 417 |
| 289, 81, 163, 347, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 289 x 81 x 163 x 347 x 139 = 1104246398466
Therefore, the lowest common multiple of 578,486,326,694,834 is 1104246398466.
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 486 x 326 x 694 x 834 = 53003827126368
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
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
326 : 1, 2, 163, 326
694 : 1, 2, 347, 694
834 : 1, 2, 3, 6, 139, 278, 417, 834
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,486,326,694,834, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
486:2x 3x 3x 3x 3x 3
326:2x 163
694:2x 347
834:2x 3x 139
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 3 = 24
Therefore, the value for common factors is 24.
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 = 53003827126368/(2x24)
LCM = 53003827126368/48
LCM = 1104246398466
Thus, we can understand that the LCM of 578,486,326,694,834 is 1104246398466.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 578, 486, 326, 694, 834
1. What is the LCM of 578, 486, 326, 694, 834?
Answer: LCM of 578, 486, 326, 694, 834 is 1104246398466.
2. How to calculate the LCM of 578, 486, 326, 694, 834?
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, 486, 326, 694, 834.
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}.