LCM of 456, 230, 384, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 230, 384, 895 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 456, 230, 384, 895. So, keep reading to learn more.
Given numbers are 456,230,384,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,230,384,895 is 150188160.
Find LCM of 456,230,384,895 with Prime Factorization
| 2 | 456, 230, 384, 895 |
| 2 | 228, 115, 192, 895 |
| 2 | 114, 115, 96, 895 |
| 3 | 57, 115, 48, 895 |
| 5 | 19, 115, 16, 895 |
| 19, 23, 16, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 19 x 23 x 16 x 179 = 150188160
Therefore, the lowest common multiple of 456,230,384,895 is 150188160.
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.
456 x 230 x 384 x 895 = 36045158400
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
230 : 1, 2, 5, 10, 23, 46, 115, 230
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,230,384,895, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
230:2x 5x 23
384:2x 2x 2x 2x 2x 2x 2x 3
895:5x 179
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 5 = 240
Therefore, the value for common factors is 240.
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 = 36045158400/(1x240)
LCM = 36045158400/240
LCM = 150188160
Thus, we can understand that the LCM of 456,230,384,895 is 150188160.
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FAQs on LCM of 456, 230, 384, 895
1. What is the LCM of 456, 230, 384, 895?
Answer: LCM of 456, 230, 384, 895 is 150188160.
2. How to calculate the LCM of 456, 230, 384, 895?
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 456, 230, 384, 895.
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}.