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LCM of 489, 860, 451, 545, 669

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


Find the LCM of 489, 860, 451, 545, 669 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 489, 860, 451, 545, 669. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,860,451,545,669

Given numbers are 489,860,451,545,669

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

The LCM of 489,860,451,545,669 is 4610151666780.

Find LCM of 489,860,451,545,669 with Prime Factorization


3 489, 860, 451, 545, 669
5 163, 860, 451, 545, 223
163, 172, 451, 109, 223

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

3 x 5 x 163 x 172 x 451 x 109 x 223 = 4610151666780

Therefore, the lowest common multiple of 489,860,451,545,669 is 4610151666780.

LCM Formula to Find Lowest Common Multiple of 489,860,451,545,669

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.

489 x 860 x 451 x 545 x 669 = 69152275001700

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.

489 : 1, 3, 163, 489

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

451 : 1, 11, 41, 451

545 : 1, 5, 109, 545

669 : 1, 3, 223, 669

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,860,451,545,669, is 1.

Now, the common factors can be found like this.

489:3x 163

860:2x 2x 5x 43

451:11x 41

545:5x 109

669:3x 223

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 69152275001700/(1x15)

LCM = 69152275001700/15

LCM = 4610151666780

Thus, we can understand that the LCM of 489,860,451,545,669 is 4610151666780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 860, 451, 545, 669

1. What is the LCM of 489, 860, 451, 545, 669?

Answer: LCM of 489, 860, 451, 545, 669 is 4610151666780.

2. How to calculate the LCM of 489, 860, 451, 545, 669?

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 489, 860, 451, 545, 669.

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}.