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LCM of 446, 149, 858, 852, 266

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 446, 149, 858, 852, 266 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 446, 149, 858, 852, 266. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,149,858,852,266

Given numbers are 446,149,858,852,266

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 446,149,858,852,266 is 538416554676.

Find LCM of 446,149,858,852,266 with Prime Factorization


2 446, 149, 858, 852, 266
3 223, 149, 429, 426, 133
223, 149, 143, 142, 133

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 223 x 149 x 143 x 142 x 133 = 538416554676

Therefore, the lowest common multiple of 446,149,858,852,266 is 538416554676.

LCM Formula to Find Lowest Common Multiple of 446,149,858,852,266

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.

446 x 149 x 858 x 852 x 266 = 12921997312224

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.

446 : 1, 2, 223, 446

149 : 1, 149

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,149,858,852,266, is 1.

Now, the common factors can be found like this.

446:2x 223

149:149

858:2x 3x 11x 13

852:2x 2x 3x 71

266:2x 7x 19

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 3 = 24

Therefore, the value for common factors is 24.

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 = 12921997312224/(1x24)

LCM = 12921997312224/24

LCM = 538416554676

Thus, we can understand that the LCM of 446,149,858,852,266 is 538416554676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 149, 858, 852, 266

1. What is the LCM of 446, 149, 858, 852, 266?

Answer: LCM of 446, 149, 858, 852, 266 is 538416554676.

2. How to calculate the LCM of 446, 149, 858, 852, 266?

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 446, 149, 858, 852, 266.

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}.