LCM of 479, 357, 858, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 357, 858, 156 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 479, 357, 858, 156. So, keep reading to learn more.
Given numbers are 479,357,858,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,357,858,156 is 97813716.
Find LCM of 479,357,858,156 with Prime Factorization
| 2 | 479, 357, 858, 156 |
| 3 | 479, 357, 429, 78 |
| 13 | 479, 119, 143, 26 |
| 479, 119, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 479 x 119 x 11 x 2 = 97813716
Therefore, the lowest common multiple of 479,357,858,156 is 97813716.
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.
479 x 357 x 858 x 156 = 22888409544
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.
479 : 1, 479
357 : 1, 3, 7, 17, 21, 51, 119, 357
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,357,858,156, is 1.
Now, the common factors can be found like this.
479:479
357:3x 7x 17
858:2x 3x 11x 13
156:2x 2x 3x 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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 22888409544/(1x234)
LCM = 22888409544/234
LCM = 97813716
Thus, we can understand that the LCM of 479,357,858,156 is 97813716.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 357, 858, 156
1. What is the LCM of 479, 357, 858, 156?
Answer: LCM of 479, 357, 858, 156 is 97813716.
2. How to calculate the LCM of 479, 357, 858, 156?
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 479, 357, 858, 156.
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}.