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LCM of 468, 489, 153, 404

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


Find the LCM of 468, 489, 153, 404 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 468, 489, 153, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,489,153,404

Given numbers are 468,489,153,404

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

The LCM of 468,489,153,404 is 130979628.

Find LCM of 468,489,153,404 with Prime Factorization


2 468, 489, 153, 404
2 234, 489, 153, 202
3 117, 489, 153, 101
3 39, 163, 51, 101
13, 163, 17, 101

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

2 x 2 x 3 x 3 x 13 x 163 x 17 x 101 = 130979628

Therefore, the lowest common multiple of 468,489,153,404 is 130979628.

LCM Formula to Find Lowest Common Multiple of 468,489,153,404

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.

468 x 489 x 153 x 404 = 14145799824

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

489 : 1, 3, 163, 489

153 : 1, 3, 9, 17, 51, 153

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,489,153,404, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

489:3x 163

153:3x 3x 17

404:2x 2x 101

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 14145799824/(1x108)

LCM = 14145799824/108

LCM = 130979628

Thus, we can understand that the LCM of 468,489,153,404 is 130979628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 489, 153, 404

1. What is the LCM of 468, 489, 153, 404?

Answer: LCM of 468, 489, 153, 404 is 130979628.

2. How to calculate the LCM of 468, 489, 153, 404?

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 468, 489, 153, 404.

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}.