LCM of 804, 676, 828, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 676, 828, 538 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, 676, 828, 538. So, keep reading to learn more.
Given numbers are 804,676,828,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,676,828,538 is 2521994436.
Find LCM of 804,676,828,538 with Prime Factorization
| 2 | 804, 676, 828, 538 |
| 2 | 402, 338, 414, 269 |
| 3 | 201, 169, 207, 269 |
| 67, 169, 69, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 169 x 69 x 269 = 2521994436
Therefore, the lowest common multiple of 804,676,828,538 is 2521994436.
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 676 x 828 x 538 = 242111465856
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
538 : 1, 2, 269, 538
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,676,828,538, is 2.
Now, the common factors can be found like this.
804:2x 2x 3x 67
676:2x 2x 13x 13
828:2x 2x 3x 3x 23
538:2x 269
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 3 = 48
Therefore, the value for common factors is 48.
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 = 242111465856/(2x48)
LCM = 242111465856/96
LCM = 2521994436
Thus, we can understand that the LCM of 804,676,828,538 is 2521994436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 804, 676, 828, 538
1. What is the LCM of 804, 676, 828, 538?
Answer: LCM of 804, 676, 828, 538 is 2521994436.
2. How to calculate the LCM of 804, 676, 828, 538?
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, 676, 828, 538.
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}.