LCM of 486, 698, 828, 698
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 698, 828, 698 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 486, 698, 828, 698. So, keep reading to learn more.
Given numbers are 486,698,828,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,698,828,698 is 7802244.
Find LCM of 486,698,828,698 with Prime Factorization
| 2 | 486, 698, 828, 698 |
| 3 | 243, 349, 414, 349 |
| 3 | 81, 349, 138, 349 |
| 349 | 27, 349, 46, 349 |
| 27, 1, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 349 x 27 x 1 x 46 x 1 = 7802244
Therefore, the lowest common multiple of 486,698,828,698 is 7802244.
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.
486 x 698 x 828 x 698 = 196054787232
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
698 : 1, 2, 349, 698
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
698 : 1, 2, 349, 698
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,698,828,698, is 2.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
698:2x 349
828:2x 2x 3x 3x 23
698:2x 349
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 3x 349 = 12564
Therefore, the value for common factors is 12564.
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 = 196054787232/(2x12564)
LCM = 196054787232/25128
LCM = 7802244
Thus, we can understand that the LCM of 486,698,828,698 is 7802244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 698, 828, 698
1. What is the LCM of 486, 698, 828, 698?
Answer: LCM of 486, 698, 828, 698 is 7802244.
2. How to calculate the LCM of 486, 698, 828, 698?
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 486, 698, 828, 698.
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}.