LCM of 421, 303, 144, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 303, 144, 816 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 421, 303, 144, 816. So, keep reading to learn more.
Given numbers are 421,303,144,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,303,144,816 is 104091408.
Find LCM of 421,303,144,816 with Prime Factorization
| 2 | 421, 303, 144, 816 |
| 2 | 421, 303, 72, 408 |
| 2 | 421, 303, 36, 204 |
| 2 | 421, 303, 18, 102 |
| 3 | 421, 303, 9, 51 |
| 421, 101, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 421 x 101 x 3 x 17 = 104091408
Therefore, the lowest common multiple of 421,303,144,816 is 104091408.
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.
421 x 303 x 144 x 816 = 14989162752
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.
421 : 1, 421
303 : 1, 3, 101, 303
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,303,144,816, is 1.
Now, the common factors can be found like this.
421:421
303:3x 101
144:2x 2x 2x 2x 3x 3
816:2x 2x 2x 2x 3x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 14989162752/(1x144)
LCM = 14989162752/144
LCM = 104091408
Thus, we can understand that the LCM of 421,303,144,816 is 104091408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 421, 303, 144, 816
1. What is the LCM of 421, 303, 144, 816?
Answer: LCM of 421, 303, 144, 816 is 104091408.
2. How to calculate the LCM of 421, 303, 144, 816?
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 421, 303, 144, 816.
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}.