LCM of 858, 924, 141, 545, 516
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 924, 141, 545, 516 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, 924, 141, 545, 516. So, keep reading to learn more.
Given numbers are 858,924,141,545,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,924,141,545,516 is 13230557340.
Find LCM of 858,924,141,545,516 with Prime Factorization
| 2 | 858, 924, 141, 545, 516 |
| 2 | 429, 462, 141, 545, 258 |
| 3 | 429, 231, 141, 545, 129 |
| 11 | 143, 77, 47, 545, 43 |
| 13, 7, 47, 545, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 13 x 7 x 47 x 545 x 43 = 13230557340
Therefore, the lowest common multiple of 858,924,141,545,516 is 13230557340.
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 924 x 141 x 545 x 516 = 31435804239840
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
141 : 1, 3, 47, 141
545 : 1, 5, 109, 545
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,924,141,545,516, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
924:2x 2x 3x 7x 11
141:3x 47
545:5x 109
516:2x 2x 3x 43
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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 31435804239840/(1x2376)
LCM = 31435804239840/2376
LCM = 13230557340
Thus, we can understand that the LCM of 858,924,141,545,516 is 13230557340.
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FAQs on LCM of 858, 924, 141, 545, 516
1. What is the LCM of 858, 924, 141, 545, 516?
Answer: LCM of 858, 924, 141, 545, 516 is 13230557340.
2. How to calculate the LCM of 858, 924, 141, 545, 516?
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, 924, 141, 545, 516.
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}.