LCM of 304, 912, 274, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 912, 274, 912 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, 912, 274, 912. So, keep reading to learn more.
Given numbers are 304,912,274,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,912,274,912 is 124944.
Find LCM of 304,912,274,912 with Prime Factorization
| 2 | 304, 912, 274, 912 |
| 2 | 152, 456, 137, 456 |
| 2 | 76, 228, 137, 228 |
| 2 | 38, 114, 137, 114 |
| 3 | 19, 57, 137, 57 |
| 19 | 19, 19, 137, 19 |
| 1, 1, 137, 1 |
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 137 x 1 = 124944
Therefore, the lowest common multiple of 304,912,274,912 is 124944.
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 912 x 274 x 912 = 69280948224
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
274 : 1, 2, 137, 274
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,912,274,912, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
912:2x 2x 2x 2x 3x 19
274:2x 137
912:2x 2x 2x 2x 3x 19
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 2x 3x 19x 19 = 277248
Therefore, the value for common factors is 277248.
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 = 69280948224/(2x277248)
LCM = 69280948224/554496
LCM = 124944
Thus, we can understand that the LCM of 304,912,274,912 is 124944.
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FAQs on LCM of 304, 912, 274, 912
1. What is the LCM of 304, 912, 274, 912?
Answer: LCM of 304, 912, 274, 912 is 124944.
2. How to calculate the LCM of 304, 912, 274, 912?
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, 912, 274, 912.
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}.