LCM of 117, 858, 784, 385, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 858, 784, 385, 531 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 117, 858, 784, 385, 531. So, keep reading to learn more.
Given numbers are 117,858,784,385,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,858,784,385,531 is 297657360.
Find LCM of 117,858,784,385,531 with Prime Factorization
| 2 | 117, 858, 784, 385, 531 |
| 3 | 117, 429, 392, 385, 531 |
| 3 | 39, 143, 392, 385, 177 |
| 7 | 13, 143, 392, 385, 59 |
| 11 | 13, 143, 56, 55, 59 |
| 13 | 13, 13, 56, 5, 59 |
| 1, 1, 56, 5, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 11 x 13 x 1 x 1 x 56 x 5 x 59 = 297657360
Therefore, the lowest common multiple of 117,858,784,385,531 is 297657360.
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.
117 x 858 x 784 x 385 x 531 = 16089570937440
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.
117 : 1, 3, 9, 13, 39, 117
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
385 : 1, 5, 7, 11, 35, 55, 77, 385
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,858,784,385,531, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
858:2x 3x 11x 13
784:2x 2x 2x 2x 7x 7
385:5x 7x 11
531:3x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 11x 13 = 54054
Therefore, the value for common factors is 54054.
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 = 16089570937440/(1x54054)
LCM = 16089570937440/54054
LCM = 297657360
Thus, we can understand that the LCM of 117,858,784,385,531 is 297657360.
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FAQs on LCM of 117, 858, 784, 385, 531
1. What is the LCM of 117, 858, 784, 385, 531?
Answer: LCM of 117, 858, 784, 385, 531 is 297657360.
2. How to calculate the LCM of 117, 858, 784, 385, 531?
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 117, 858, 784, 385, 531.
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}.