LCM of 304, 816, 151, 946, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 816, 151, 946, 612 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 304, 816, 151, 946, 612. So, keep reading to learn more.
Given numbers are 304,816,151,946,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,816,151,946,612 is 3322026576.
Find LCM of 304,816,151,946,612 with Prime Factorization
| 2 | 304, 816, 151, 946, 612 |
| 2 | 152, 408, 151, 473, 306 |
| 2 | 76, 204, 151, 473, 153 |
| 2 | 38, 102, 151, 473, 153 |
| 3 | 19, 51, 151, 473, 153 |
| 17 | 19, 17, 151, 473, 51 |
| 19, 1, 151, 473, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 19 x 1 x 151 x 473 x 3 = 3322026576
Therefore, the lowest common multiple of 304,816,151,946,612 is 3322026576.
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.
304 x 816 x 151 x 946 x 612 = 21686189488128
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
151 : 1, 151
946 : 1, 2, 11, 22, 43, 86, 473, 946
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,816,151,946,612, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
816:2x 2x 2x 2x 3x 17
151:151
946:2x 11x 43
612:2x 2x 3x 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 2x 2x 2x 3x 17 = 6528
Therefore, the value for common factors is 6528.
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 = 21686189488128/(1x6528)
LCM = 21686189488128/6528
LCM = 3322026576
Thus, we can understand that the LCM of 304,816,151,946,612 is 3322026576.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 816, 151, 946, 612
1. What is the LCM of 304, 816, 151, 946, 612?
Answer: LCM of 304, 816, 151, 946, 612 is 3322026576.
2. How to calculate the LCM of 304, 816, 151, 946, 612?
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 304, 816, 151, 946, 612.
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}.