LCM of 844, 804, 557, 541
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 804, 557, 541 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 844, 804, 557, 541. So, keep reading to learn more.
Given numbers are 844,804,557,541
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,804,557,541 is 51120014028.
Find LCM of 844,804,557,541 with Prime Factorization
| 2 | 844, 804, 557, 541 |
| 2 | 422, 402, 557, 541 |
| 211, 201, 557, 541 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 211 x 201 x 557 x 541 = 51120014028
Therefore, the lowest common multiple of 844,804,557,541 is 51120014028.
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.
844 x 804 x 557 x 541 = 204480056112
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.
844 : 1, 2, 4, 211, 422, 844
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
557 : 1, 557
541 : 1, 541
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,804,557,541, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
804:2x 2x 3x 67
557:557
541:541
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 204480056112/(1x4)
LCM = 204480056112/4
LCM = 51120014028
Thus, we can understand that the LCM of 844,804,557,541 is 51120014028.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 804, 557, 541
1. What is the LCM of 844, 804, 557, 541?
Answer: LCM of 844, 804, 557, 541 is 51120014028.
2. How to calculate the LCM of 844, 804, 557, 541?
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 844, 804, 557, 541.
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}.