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LCM of 489, 422, 844, 145

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


Find the LCM of 489, 422, 844, 145 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, 422, 844, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,422,844,145

Given numbers are 489,422,844,145

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

The LCM of 489,422,844,145 is 59843820.

Find LCM of 489,422,844,145 with Prime Factorization


2 489, 422, 844, 145
211 489, 211, 422, 145
489, 1, 2, 145

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

2 x 211 x 489 x 1 x 2 x 145 = 59843820

Therefore, the lowest common multiple of 489,422,844,145 is 59843820.

LCM Formula to Find Lowest Common Multiple of 489,422,844,145

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 422 x 844 x 145 = 25254092040

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

422 : 1, 2, 211, 422

844 : 1, 2, 4, 211, 422, 844

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,422,844,145, is 1.

Now, the common factors can be found like this.

489:3x 163

422:2x 211

844:2x 2x 211

145:5x 29

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

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 25254092040/(1x422)

LCM = 25254092040/422

LCM = 59843820

Thus, we can understand that the LCM of 489,422,844,145 is 59843820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 422, 844, 145

1. What is the LCM of 489, 422, 844, 145?

Answer: LCM of 489, 422, 844, 145 is 59843820.

2. How to calculate the LCM of 489, 422, 844, 145?

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, 422, 844, 145.

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}.