LCM of 486, 837, 858, 939, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 837, 858, 939, 100 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 486, 837, 858, 939, 100. So, keep reading to learn more.
Given numbers are 486,837,858,939,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,837,858,939,100 is 33716954700.
Find LCM of 486,837,858,939,100 with Prime Factorization
| 2 | 486, 837, 858, 939, 100 |
| 3 | 243, 837, 429, 939, 50 |
| 3 | 81, 279, 143, 313, 50 |
| 3 | 27, 93, 143, 313, 50 |
| 9, 31, 143, 313, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 9 x 31 x 143 x 313 x 50 = 33716954700
Therefore, the lowest common multiple of 486,837,858,939,100 is 33716954700.
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.
486 x 837 x 858 x 939 x 100 = 32772879968400
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
837 : 1, 3, 9, 27, 31, 93, 279, 837
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
939 : 1, 3, 313, 939
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,837,858,939,100, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
837:3x 3x 3x 31
858:2x 3x 11x 13
939:3x 313
100:2x 2x 5x 5
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 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 32772879968400/(1x972)
LCM = 32772879968400/972
LCM = 33716954700
Thus, we can understand that the LCM of 486,837,858,939,100 is 33716954700.
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FAQs on LCM of 486, 837, 858, 939, 100
1. What is the LCM of 486, 837, 858, 939, 100?
Answer: LCM of 486, 837, 858, 939, 100 is 33716954700.
2. How to calculate the LCM of 486, 837, 858, 939, 100?
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 486, 837, 858, 939, 100.
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}.