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LCM of 169, 782, 446, 406, 689

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


Find the LCM of 169, 782, 446, 406, 689 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 169, 782, 446, 406, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,782,446,406,689

Given numbers are 169,782,446,406,689

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

The LCM of 169,782,446,406,689 is 317081006606.

Find LCM of 169,782,446,406,689 with Prime Factorization


2 169, 782, 446, 406, 689
13 169, 391, 223, 203, 689
13, 391, 223, 203, 53

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

2 x 13 x 13 x 391 x 223 x 203 x 53 = 317081006606

Therefore, the lowest common multiple of 169,782,446,406,689 is 317081006606.

LCM Formula to Find Lowest Common Multiple of 169,782,446,406,689

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.

169 x 782 x 446 x 406 x 689 = 16488212343512

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.

169 : 1, 13, 169

782 : 1, 2, 17, 23, 34, 46, 391, 782

446 : 1, 2, 223, 446

406 : 1, 2, 7, 14, 29, 58, 203, 406

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,782,446,406,689, is 1.

Now, the common factors can be found like this.

169:13x 13

782:2x 17x 23

446:2x 223

406:2x 7x 29

689:13x 53

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 13 = 52

Therefore, the value for common factors is 52.

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 = 16488212343512/(1x52)

LCM = 16488212343512/52

LCM = 317081006606

Thus, we can understand that the LCM of 169,782,446,406,689 is 317081006606.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 782, 446, 406, 689

1. What is the LCM of 169, 782, 446, 406, 689?

Answer: LCM of 169, 782, 446, 406, 689 is 317081006606.

2. How to calculate the LCM of 169, 782, 446, 406, 689?

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 169, 782, 446, 406, 689.

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}.