LCM of 858, 841, 858, 618, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 841, 858, 618, 820 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, 841, 858, 618, 820. So, keep reading to learn more.
Given numbers are 858,841,858,618,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,841,858,618,820 is 30472238940.
Find LCM of 858,841,858,618,820 with Prime Factorization
| 2 | 858, 841, 858, 618, 820 |
| 3 | 429, 841, 429, 309, 410 |
| 11 | 143, 841, 143, 103, 410 |
| 13 | 13, 841, 13, 103, 410 |
| 1, 841, 1, 103, 410 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 1 x 841 x 1 x 103 x 410 = 30472238940
Therefore, the lowest common multiple of 858,841,858,618,820 is 30472238940.
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 841 x 858 x 618 x 820 = 313742172126240
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
841 : 1, 29, 841
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
618 : 1, 2, 3, 6, 103, 206, 309, 618
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,841,858,618,820, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
841:29x 29
858:2x 3x 11x 13
618:2x 3x 103
820:2x 2x 5x 41
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 11x 13 = 10296
Therefore, the value for common factors is 10296.
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 = 313742172126240/(1x10296)
LCM = 313742172126240/10296
LCM = 30472238940
Thus, we can understand that the LCM of 858,841,858,618,820 is 30472238940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 858, 841, 858, 618, 820
1. What is the LCM of 858, 841, 858, 618, 820?
Answer: LCM of 858, 841, 858, 618, 820 is 30472238940.
2. How to calculate the LCM of 858, 841, 858, 618, 820?
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, 841, 858, 618, 820.
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}.