LCM of 705, 135, 363, 894, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 135, 363, 894, 897 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, 135, 363, 894, 897. So, keep reading to learn more.
Given numbers are 705,135,363,894,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,135,363,894,897 is 68407614990.
Find LCM of 705,135,363,894,897 with Prime Factorization
| 3 | 705, 135, 363, 894, 897 |
| 5 | 235, 45, 121, 298, 299 |
| 47, 9, 121, 298, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 9 x 121 x 298 x 299 = 68407614990
Therefore, the lowest common multiple of 705,135,363,894,897 is 68407614990.
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 135 x 363 x 894 x 897 = 27705084070950
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
135 : 1, 3, 5, 9, 15, 27, 45, 135
363 : 1, 3, 11, 33, 121, 363
894 : 1, 2, 3, 6, 149, 298, 447, 894
897 : 1, 3, 13, 23, 39, 69, 299, 897
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,135,363,894,897, is 3.
Now, the common factors can be found like this.
705:3x 5x 47
135:3x 3x 3x 5
363:3x 11x 11
894:2x 3x 149
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 27705084070950/(3x135)
LCM = 27705084070950/405
LCM = 68407614990
Thus, we can understand that the LCM of 705,135,363,894,897 is 68407614990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 135, 363, 894, 897
1. What is the LCM of 705, 135, 363, 894, 897?
Answer: LCM of 705, 135, 363, 894, 897 is 68407614990.
2. How to calculate the LCM of 705, 135, 363, 894, 897?
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, 135, 363, 894, 897.
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}.