LCM of 100, 858, 825, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 858, 825, 682 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 100, 858, 825, 682. So, keep reading to learn more.
Given numbers are 100,858,825,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,858,825,682 is 1329900.
Find LCM of 100,858,825,682 with Prime Factorization
| 2 | 100, 858, 825, 682 |
| 3 | 50, 429, 825, 341 |
| 5 | 50, 143, 275, 341 |
| 5 | 10, 143, 55, 341 |
| 11 | 2, 143, 11, 341 |
| 2, 13, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 2 x 13 x 1 x 31 = 1329900
Therefore, the lowest common multiple of 100,858,825,682 is 1329900.
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.
100 x 858 x 825 x 682 = 48275370000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,858,825,682, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
858:2x 3x 11x 13
825:3x 5x 5x 11
682:2x 11x 31
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 5x 5x 11x 11 = 36300
Therefore, the value for common factors is 36300.
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 = 48275370000/(1x36300)
LCM = 48275370000/36300
LCM = 1329900
Thus, we can understand that the LCM of 100,858,825,682 is 1329900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 100, 858, 825, 682
1. What is the LCM of 100, 858, 825, 682?
Answer: LCM of 100, 858, 825, 682 is 1329900.
2. How to calculate the LCM of 100, 858, 825, 682?
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 100, 858, 825, 682.
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}.