LCM of 582, 759, 716, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 582, 759, 716, 858 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 582, 759, 716, 858. So, keep reading to learn more.
Given numbers are 582,759,716,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 582,759,716,858 is 685282884.
Find LCM of 582,759,716,858 with Prime Factorization
| 2 | 582, 759, 716, 858 |
| 3 | 291, 759, 358, 429 |
| 11 | 97, 253, 358, 143 |
| 97, 23, 358, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 97 x 23 x 358 x 13 = 685282884
Therefore, the lowest common multiple of 582,759,716,858 is 685282884.
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.
582 x 759 x 716 x 858 = 271372022064
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.
582 : 1, 2, 3, 6, 97, 194, 291, 582
759 : 1, 3, 11, 23, 33, 69, 253, 759
716 : 1, 2, 4, 179, 358, 716
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,759,716,858, is 1.
Now, the common factors can be found like this.
582:2x 3x 97
759:3x 11x 23
716:2x 2x 179
858:2x 3x 11x 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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 271372022064/(1x396)
LCM = 271372022064/396
LCM = 685282884
Thus, we can understand that the LCM of 582,759,716,858 is 685282884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 582, 759, 716, 858
1. What is the LCM of 582, 759, 716, 858?
Answer: LCM of 582, 759, 716, 858 is 685282884.
2. How to calculate the LCM of 582, 759, 716, 858?
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 582, 759, 716, 858.
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}.