LCM of 804, 578, 598, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 578, 598, 828 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 804, 578, 598, 828. So, keep reading to learn more.
Given numbers are 804,578,598,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,578,598,828 is 208423332.
Find LCM of 804,578,598,828 with Prime Factorization
| 2 | 804, 578, 598, 828 |
| 2 | 402, 289, 299, 414 |
| 3 | 201, 289, 299, 207 |
| 23 | 67, 289, 299, 69 |
| 67, 289, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 67 x 289 x 13 x 3 = 208423332
Therefore, the lowest common multiple of 804,578,598,828 is 208423332.
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.
804 x 578 x 598 x 828 = 230099358528
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
578 : 1, 2, 17, 34, 289, 578
598 : 1, 2, 13, 23, 26, 46, 299, 598
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,578,598,828, is 2.
Now, the common factors can be found like this.
804:2x 2x 3x 67
578:2x 17x 17
598:2x 13x 23
828:2x 2x 3x 3x 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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 230099358528/(2x552)
LCM = 230099358528/1104
LCM = 208423332
Thus, we can understand that the LCM of 804,578,598,828 is 208423332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 804, 578, 598, 828
1. What is the LCM of 804, 578, 598, 828?
Answer: LCM of 804, 578, 598, 828 is 208423332.
2. How to calculate the LCM of 804, 578, 598, 828?
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 804, 578, 598, 828.
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}.