LCM of 928, 324, 981, 754, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 324, 981, 754, 676 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 928, 324, 981, 754, 676. So, keep reading to learn more.
Given numbers are 928,324,981,754,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,324,981,754,676 is 1384669728.
Find LCM of 928,324,981,754,676 with Prime Factorization
| 2 | 928, 324, 981, 754, 676 |
| 2 | 464, 162, 981, 377, 338 |
| 3 | 232, 81, 981, 377, 169 |
| 3 | 232, 27, 327, 377, 169 |
| 13 | 232, 9, 109, 377, 169 |
| 29 | 232, 9, 109, 29, 13 |
| 8, 9, 109, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 29 x 8 x 9 x 109 x 1 x 13 = 1384669728
Therefore, the lowest common multiple of 928,324,981,754,676 is 1384669728.
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.
928 x 324 x 981 x 754 x 676 = 150341900387328
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
981 : 1, 3, 9, 109, 327, 981
754 : 1, 2, 13, 26, 29, 58, 377, 754
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,324,981,754,676, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
324:2x 2x 3x 3x 3x 3
981:3x 3x 109
754:2x 13x 29
676:2x 2x 13x 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 2x 2x 2x 3x 3x 13x 29 = 108576
Therefore, the value for common factors is 108576.
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 = 150341900387328/(1x108576)
LCM = 150341900387328/108576
LCM = 1384669728
Thus, we can understand that the LCM of 928,324,981,754,676 is 1384669728.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 928, 324, 981, 754, 676
1. What is the LCM of 928, 324, 981, 754, 676?
Answer: LCM of 928, 324, 981, 754, 676 is 1384669728.
2. How to calculate the LCM of 928, 324, 981, 754, 676?
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 928, 324, 981, 754, 676.
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}.