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LCM of 446, 937, 489, 326, 566

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


Find the LCM of 446, 937, 489, 326, 566 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, 937, 489, 326, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,937,489,326,566

Given numbers are 446,937,489,326,566

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

The LCM of 446,937,489,326,566 is 57832204074.

Find LCM of 446,937,489,326,566 with Prime Factorization


2 446, 937, 489, 326, 566
163 223, 937, 489, 163, 283
223, 937, 3, 1, 283

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

2 x 163 x 223 x 937 x 3 x 1 x 283 = 57832204074

Therefore, the lowest common multiple of 446,937,489,326,566 is 57832204074.

LCM Formula to Find Lowest Common Multiple of 446,937,489,326,566

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 937 x 489 x 326 x 566 = 37706597056248

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

937 : 1, 937

489 : 1, 3, 163, 489

326 : 1, 2, 163, 326

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,937,489,326,566, is 1.

Now, the common factors can be found like this.

446:2x 223

937:937

489:3x 163

326:2x 163

566:2x 283

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 163 = 652

Therefore, the value for common factors is 652.

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 = 37706597056248/(1x652)

LCM = 37706597056248/652

LCM = 57832204074

Thus, we can understand that the LCM of 446,937,489,326,566 is 57832204074.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 937, 489, 326, 566

1. What is the LCM of 446, 937, 489, 326, 566?

Answer: LCM of 446, 937, 489, 326, 566 is 57832204074.

2. How to calculate the LCM of 446, 937, 489, 326, 566?

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, 937, 489, 326, 566.

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}.