LCM of 705, 404, 576, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 404, 576, 456 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 705, 404, 576, 456. So, keep reading to learn more.
Given numbers are 705,404,576,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,404,576,456 is 259755840.
Find LCM of 705,404,576,456 with Prime Factorization
| 2 | 705, 404, 576, 456 |
| 2 | 705, 202, 288, 228 |
| 2 | 705, 101, 144, 114 |
| 3 | 705, 101, 72, 57 |
| 235, 101, 24, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 235 x 101 x 24 x 19 = 259755840
Therefore, the lowest common multiple of 705,404,576,456 is 259755840.
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.
705 x 404 x 576 x 456 = 74809681920
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
404 : 1, 2, 4, 101, 202, 404
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,404,576,456, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
404:2x 2x 101
576:2x 2x 2x 2x 2x 2x 3x 3
456:2x 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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 74809681920/(1x288)
LCM = 74809681920/288
LCM = 259755840
Thus, we can understand that the LCM of 705,404,576,456 is 259755840.
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FAQs on LCM of 705, 404, 576, 456
1. What is the LCM of 705, 404, 576, 456?
Answer: LCM of 705, 404, 576, 456 is 259755840.
2. How to calculate the LCM of 705, 404, 576, 456?
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 705, 404, 576, 456.
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}.