LCM of 828, 506, 690, 489
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 506, 690, 489 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 828, 506, 690, 489. So, keep reading to learn more.
Given numbers are 828,506,690,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,506,690,489 is 7423020.
Find LCM of 828,506,690,489 with Prime Factorization
| 2 | 828, 506, 690, 489 |
| 3 | 414, 253, 345, 489 |
| 23 | 138, 253, 115, 163 |
| 6, 11, 5, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 6 x 11 x 5 x 163 = 7423020
Therefore, the lowest common multiple of 828,506,690,489 is 7423020.
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.
828 x 506 x 690 x 489 = 141363992880
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
506 : 1, 2, 11, 22, 23, 46, 253, 506
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,506,690,489, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
506:2x 11x 23
690:2x 3x 5x 23
489:3x 163
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 23x 23 = 19044
Therefore, the value for common factors is 19044.
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 = 141363992880/(1x19044)
LCM = 141363992880/19044
LCM = 7423020
Thus, we can understand that the LCM of 828,506,690,489 is 7423020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 828, 506, 690, 489
1. What is the LCM of 828, 506, 690, 489?
Answer: LCM of 828, 506, 690, 489 is 7423020.
2. How to calculate the LCM of 828, 506, 690, 489?
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 828, 506, 690, 489.
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}.