LCM of 814, 176, 506, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 176, 506, 904 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 814, 176, 506, 904. So, keep reading to learn more.
Given numbers are 814,176,506,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,176,506,904 is 16924688.
Find LCM of 814,176,506,904 with Prime Factorization
| 2 | 814, 176, 506, 904 |
| 2 | 407, 88, 253, 452 |
| 2 | 407, 44, 253, 226 |
| 11 | 407, 22, 253, 113 |
| 37, 2, 23, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 2 x 23 x 113 = 16924688
Therefore, the lowest common multiple of 814,176,506,904 is 16924688.
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.
814 x 176 x 506 x 904 = 65532391936
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
506 : 1, 2, 11, 22, 23, 46, 253, 506
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,176,506,904, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
176:2x 2x 2x 2x 11
506:2x 11x 23
904:2x 2x 2x 113
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 65532391936/(2x1936)
LCM = 65532391936/3872
LCM = 16924688
Thus, we can understand that the LCM of 814,176,506,904 is 16924688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 176, 506, 904
1. What is the LCM of 814, 176, 506, 904?
Answer: LCM of 814, 176, 506, 904 is 16924688.
2. How to calculate the LCM of 814, 176, 506, 904?
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 814, 176, 506, 904.
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}.