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LCM of 189, 259, 407, 655

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


Find the LCM of 189, 259, 407, 655 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 189, 259, 407, 655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 189,259,407,655

Given numbers are 189,259,407,655

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

The LCM of 189,259,407,655 is 50384565.

Find LCM of 189,259,407,655 with Prime Factorization


7 189, 259, 407, 655
37 27, 37, 407, 655
27, 1, 11, 655

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

7 x 37 x 27 x 1 x 11 x 655 = 50384565

Therefore, the lowest common multiple of 189,259,407,655 is 50384565.

LCM Formula to Find Lowest Common Multiple of 189,259,407,655

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.

189 x 259 x 407 x 655 = 13049602335

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

259 : 1, 7, 37, 259

407 : 1, 11, 37, 407

655 : 1, 5, 131, 655

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,259,407,655, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

259:7x 37

407:11x 37

655:5x 131

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

7x 37 = 259

Therefore, the value for common factors is 259.

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 = 13049602335/(1x259)

LCM = 13049602335/259

LCM = 50384565

Thus, we can understand that the LCM of 189,259,407,655 is 50384565.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 189, 259, 407, 655

1. What is the LCM of 189, 259, 407, 655?

Answer: LCM of 189, 259, 407, 655 is 50384565.

2. How to calculate the LCM of 189, 259, 407, 655?

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 189, 259, 407, 655.

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}.