LCM of 304, 456, 654, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 456, 654, 672 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, 456, 654, 672. So, keep reading to learn more.
Given numbers are 304,456,654,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,456,654,672 is 1391712.
Find LCM of 304,456,654,672 with Prime Factorization
| 2 | 304, 456, 654, 672 |
| 2 | 152, 228, 327, 336 |
| 2 | 76, 114, 327, 168 |
| 2 | 38, 57, 327, 84 |
| 3 | 19, 57, 327, 42 |
| 19 | 19, 19, 109, 14 |
| 1, 1, 109, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 1 x 1 x 109 x 14 = 1391712
Therefore, the lowest common multiple of 304,456,654,672 is 1391712.
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 456 x 654 x 672 = 60923584512
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
654 : 1, 2, 3, 6, 109, 218, 327, 654
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,456,654,672, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
456:2x 2x 2x 3x 19
654:2x 3x 109
672:2x 2x 2x 2x 2x 3x 7
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 3x 19 = 21888
Therefore, the value for common factors is 21888.
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 = 60923584512/(2x21888)
LCM = 60923584512/43776
LCM = 1391712
Thus, we can understand that the LCM of 304,456,654,672 is 1391712.
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FAQs on LCM of 304, 456, 654, 672
1. What is the LCM of 304, 456, 654, 672?
Answer: LCM of 304, 456, 654, 672 is 1391712.
2. How to calculate the LCM of 304, 456, 654, 672?
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, 456, 654, 672.
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}.