LCM of 981, 468, 676, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 468, 676, 585 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 981, 468, 676, 585. So, keep reading to learn more.
Given numbers are 981,468,676,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,468,676,585 is 3315780.
Find LCM of 981,468,676,585 with Prime Factorization
| 2 | 981, 468, 676, 585 |
| 2 | 981, 234, 338, 585 |
| 3 | 981, 117, 169, 585 |
| 3 | 327, 39, 169, 195 |
| 13 | 109, 13, 169, 65 |
| 109, 1, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 109 x 1 x 13 x 5 = 3315780
Therefore, the lowest common multiple of 981,468,676,585 is 3315780.
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.
981 x 468 x 676 x 585 = 181558849680
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.
981 : 1, 3, 9, 109, 327, 981
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,468,676,585, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
468:2x 2x 3x 3x 13
676:2x 2x 13x 13
585:3x 3x 5x 13
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 3x 3x 13x 13 = 54756
Therefore, the value for common factors is 54756.
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 = 181558849680/(1x54756)
LCM = 181558849680/54756
LCM = 3315780
Thus, we can understand that the LCM of 981,468,676,585 is 3315780.
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FAQs on LCM of 981, 468, 676, 585
1. What is the LCM of 981, 468, 676, 585?
Answer: LCM of 981, 468, 676, 585 is 3315780.
2. How to calculate the LCM of 981, 468, 676, 585?
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 981, 468, 676, 585.
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}.