LCM of 276, 663, 621, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 663, 621, 474 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 276, 663, 621, 474. So, keep reading to learn more.
Given numbers are 276,663,621,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,663,621,474 is 43368156.
Find LCM of 276,663,621,474 with Prime Factorization
| 2 | 276, 663, 621, 474 |
| 3 | 138, 663, 621, 237 |
| 23 | 46, 221, 207, 79 |
| 2, 221, 9, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 2 x 221 x 9 x 79 = 43368156
Therefore, the lowest common multiple of 276,663,621,474 is 43368156.
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.
276 x 663 x 621 x 474 = 53863249752
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
663 : 1, 3, 13, 17, 39, 51, 221, 663
621 : 1, 3, 9, 23, 27, 69, 207, 621
474 : 1, 2, 3, 6, 79, 158, 237, 474
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,663,621,474, is 3.
Now, the common factors can be found like this.
276:2x 2x 3x 23
663:3x 13x 17
621:3x 3x 3x 23
474:2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 53863249752/(3x414)
LCM = 53863249752/1242
LCM = 43368156
Thus, we can understand that the LCM of 276,663,621,474 is 43368156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 276, 663, 621, 474
1. What is the LCM of 276, 663, 621, 474?
Answer: LCM of 276, 663, 621, 474 is 43368156.
2. How to calculate the LCM of 276, 663, 621, 474?
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 276, 663, 621, 474.
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}.