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LCM of 422, 654, 681, 447, 489

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


Find the LCM of 422, 654, 681, 447, 489 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 422, 654, 681, 447, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,654,681,447,489

Given numbers are 422,654,681,447,489

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

The LCM of 422,654,681,447,489 is 760781483106.

Find LCM of 422,654,681,447,489 with Prime Factorization


2 422, 654, 681, 447, 489
3 211, 327, 681, 447, 489
211, 109, 227, 149, 163

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

2 x 3 x 211 x 109 x 227 x 149 x 163 = 760781483106

Therefore, the lowest common multiple of 422,654,681,447,489 is 760781483106.

LCM Formula to Find Lowest Common Multiple of 422,654,681,447,489

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.

422 x 654 x 681 x 447 x 489 = 41082200087724

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.

422 : 1, 2, 211, 422

654 : 1, 2, 3, 6, 109, 218, 327, 654

681 : 1, 3, 227, 681

447 : 1, 3, 149, 447

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,654,681,447,489, is 1.

Now, the common factors can be found like this.

422:2x 211

654:2x 3x 109

681:3x 227

447:3x 149

489:3x 163

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 41082200087724/(1x54)

LCM = 41082200087724/54

LCM = 760781483106

Thus, we can understand that the LCM of 422,654,681,447,489 is 760781483106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 654, 681, 447, 489

1. What is the LCM of 422, 654, 681, 447, 489?

Answer: LCM of 422, 654, 681, 447, 489 is 760781483106.

2. How to calculate the LCM of 422, 654, 681, 447, 489?

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 422, 654, 681, 447, 489.

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}.