LCM of 808, 468, 746, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 468, 746, 221 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 808, 468, 746, 221. So, keep reading to learn more.
Given numbers are 808,468,746,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,468,746,221 is 599452776.
Find LCM of 808,468,746,221 with Prime Factorization
| 2 | 808, 468, 746, 221 |
| 2 | 404, 234, 373, 221 |
| 13 | 202, 117, 373, 221 |
| 202, 9, 373, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 202 x 9 x 373 x 17 = 599452776
Therefore, the lowest common multiple of 808,468,746,221 is 599452776.
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.
808 x 468 x 746 x 221 = 62343088704
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
746 : 1, 2, 373, 746
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,468,746,221, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
468:2x 2x 3x 3x 13
746:2x 373
221:13x 17
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 13 = 104
Therefore, the value for common factors is 104.
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 = 62343088704/(1x104)
LCM = 62343088704/104
LCM = 599452776
Thus, we can understand that the LCM of 808,468,746,221 is 599452776.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 808, 468, 746, 221
1. What is the LCM of 808, 468, 746, 221?
Answer: LCM of 808, 468, 746, 221 is 599452776.
2. How to calculate the LCM of 808, 468, 746, 221?
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 808, 468, 746, 221.
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}.