LCM of 858, 584, 516, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 584, 516, 528 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 858, 584, 516, 528. So, keep reading to learn more.
Given numbers are 858,584,516,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,584,516,528 is 21546096.
Find LCM of 858,584,516,528 with Prime Factorization
| 2 | 858, 584, 516, 528 |
| 2 | 429, 292, 258, 264 |
| 2 | 429, 146, 129, 132 |
| 3 | 429, 73, 129, 66 |
| 11 | 143, 73, 43, 22 |
| 13, 73, 43, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 73 x 43 x 2 = 21546096
Therefore, the lowest common multiple of 858,584,516,528 is 21546096.
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.
858 x 584 x 516 x 528 = 136516064256
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
584 : 1, 2, 4, 8, 73, 146, 292, 584
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,584,516,528, is 2.
Now, the common factors can be found like this.
858:2x 3x 11x 13
584:2x 2x 2x 73
516:2x 2x 3x 43
528:2x 2x 2x 2x 3x 11
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 2x 2x 2x 3x 3x 11 = 3168
Therefore, the value for common factors is 3168.
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 = 136516064256/(2x3168)
LCM = 136516064256/6336
LCM = 21546096
Thus, we can understand that the LCM of 858,584,516,528 is 21546096.
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FAQs on LCM of 858, 584, 516, 528
1. What is the LCM of 858, 584, 516, 528?
Answer: LCM of 858, 584, 516, 528 is 21546096.
2. How to calculate the LCM of 858, 584, 516, 528?
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 858, 584, 516, 528.
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}.