LCM of 858, 558, 361, 930, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 558, 361, 930, 397 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, 558, 361, 930, 397. So, keep reading to learn more.
Given numbers are 858,558,361,930,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,558,361,930,397 is 57179183490.
Find LCM of 858,558,361,930,397 with Prime Factorization
| 2 | 858, 558, 361, 930, 397 |
| 3 | 429, 279, 361, 465, 397 |
| 31 | 143, 93, 361, 155, 397 |
| 143, 3, 361, 5, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 143 x 3 x 361 x 5 x 397 = 57179183490
Therefore, the lowest common multiple of 858,558,361,930,397 is 57179183490.
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 558 x 361 x 930 x 397 = 63811968774840
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
361 : 1, 19, 361
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,558,361,930,397, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
558:2x 3x 3x 31
361:19x 19
930:2x 3x 5x 31
397:397
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 31 = 1116
Therefore, the value for common factors is 1116.
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 = 63811968774840/(1x1116)
LCM = 63811968774840/1116
LCM = 57179183490
Thus, we can understand that the LCM of 858,558,361,930,397 is 57179183490.
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FAQs on LCM of 858, 558, 361, 930, 397
1. What is the LCM of 858, 558, 361, 930, 397?
Answer: LCM of 858, 558, 361, 930, 397 is 57179183490.
2. How to calculate the LCM of 858, 558, 361, 930, 397?
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, 558, 361, 930, 397.
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}.