LCM of 701, 585, 608, 836, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 701, 585, 608, 836, 115 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 701, 585, 608, 836, 115. So, keep reading to learn more.
Given numbers are 701,585,608,836,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 701,585,608,836,115 is 63080915040.
Find LCM of 701,585,608,836,115 with Prime Factorization
| 2 | 701, 585, 608, 836, 115 |
| 2 | 701, 585, 304, 418, 115 |
| 5 | 701, 585, 152, 209, 115 |
| 19 | 701, 117, 152, 209, 23 |
| 701, 117, 8, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 701 x 117 x 8 x 11 x 23 = 63080915040
Therefore, the lowest common multiple of 701,585,608,836,115 is 63080915040.
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.
701 x 585 x 608 x 836 x 115 = 23970747715200
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.
701 : 1, 701
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,585,608,836,115, is 1.
Now, the common factors can be found like this.
701:701
585:3x 3x 5x 13
608:2x 2x 2x 2x 2x 19
836:2x 2x 11x 19
115:5x 23
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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 23970747715200/(1x380)
LCM = 23970747715200/380
LCM = 63080915040
Thus, we can understand that the LCM of 701,585,608,836,115 is 63080915040.
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FAQs on LCM of 701, 585, 608, 836, 115
1. What is the LCM of 701, 585, 608, 836, 115?
Answer: LCM of 701, 585, 608, 836, 115 is 63080915040.
2. How to calculate the LCM of 701, 585, 608, 836, 115?
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 701, 585, 608, 836, 115.
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}.