LCM of 705, 299, 455, 884, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 299, 455, 884, 312 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, 299, 455, 884, 312. So, keep reading to learn more.
Given numbers are 705,299,455,884,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,299,455,884,312 is 200676840.
Find LCM of 705,299,455,884,312 with Prime Factorization
| 2 | 705, 299, 455, 884, 312 |
| 2 | 705, 299, 455, 442, 156 |
| 3 | 705, 299, 455, 221, 78 |
| 5 | 235, 299, 455, 221, 26 |
| 13 | 47, 299, 91, 221, 26 |
| 47, 23, 7, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 47 x 23 x 7 x 17 x 2 = 200676840
Therefore, the lowest common multiple of 705,299,455,884,312 is 200676840.
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 299 x 455 x 884 x 312 = 26453221048800
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
299 : 1, 13, 23, 299
455 : 1, 5, 7, 13, 35, 65, 91, 455
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,299,455,884,312, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
299:13x 23
455:5x 7x 13
884:2x 2x 13x 17
312:2x 2x 2x 3x 13
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 3x 5x 13x 13x 13 = 131820
Therefore, the value for common factors is 131820.
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 = 26453221048800/(1x131820)
LCM = 26453221048800/131820
LCM = 200676840
Thus, we can understand that the LCM of 705,299,455,884,312 is 200676840.
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FAQs on LCM of 705, 299, 455, 884, 312
1. What is the LCM of 705, 299, 455, 884, 312?
Answer: LCM of 705, 299, 455, 884, 312 is 200676840.
2. How to calculate the LCM of 705, 299, 455, 884, 312?
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, 299, 455, 884, 312.
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}.