LCM of 687, 592, 672, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 592, 672, 804 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 687, 592, 672, 804. So, keep reading to learn more.
Given numbers are 687,592,672,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,592,672,804 is 381488352.
Find LCM of 687,592,672,804 with Prime Factorization
| 2 | 687, 592, 672, 804 |
| 2 | 687, 296, 336, 402 |
| 2 | 687, 148, 168, 201 |
| 2 | 687, 74, 84, 201 |
| 3 | 687, 37, 42, 201 |
| 229, 37, 14, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 229 x 37 x 14 x 67 = 381488352
Therefore, the lowest common multiple of 687,592,672,804 is 381488352.
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.
687 x 592 x 672 x 804 = 219737290752
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.
687 : 1, 3, 229, 687
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,592,672,804, is 1.
Now, the common factors can be found like this.
687:3x 229
592:2x 2x 2x 2x 37
672:2x 2x 2x 2x 2x 3x 7
804:2x 2x 3x 67
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 219737290752/(1x576)
LCM = 219737290752/576
LCM = 381488352
Thus, we can understand that the LCM of 687,592,672,804 is 381488352.
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FAQs on LCM of 687, 592, 672, 804
1. What is the LCM of 687, 592, 672, 804?
Answer: LCM of 687, 592, 672, 804 is 381488352.
2. How to calculate the LCM of 687, 592, 672, 804?
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 687, 592, 672, 804.
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}.