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LCM of 489, 592, 492, 429

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


Find the LCM of 489, 592, 492, 429 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, 592, 492, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,592,492,429

Given numbers are 489,592,492,429

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

The LCM of 489,592,492,429 is 1697268144.

Find LCM of 489,592,492,429 with Prime Factorization


2 489, 592, 492, 429
2 489, 296, 246, 429
3 489, 148, 123, 429
163, 148, 41, 143

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

2 x 2 x 3 x 163 x 148 x 41 x 143 = 1697268144

Therefore, the lowest common multiple of 489,592,492,429 is 1697268144.

LCM Formula to Find Lowest Common Multiple of 489,592,492,429

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 592 x 492 x 429 = 61101653184

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,592,492,429, is 1.

Now, the common factors can be found like this.

489:3x 163

592:2x 2x 2x 2x 37

492:2x 2x 3x 41

429:3x 11x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 61101653184/(1x36)

LCM = 61101653184/36

LCM = 1697268144

Thus, we can understand that the LCM of 489,592,492,429 is 1697268144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 592, 492, 429

1. What is the LCM of 489, 592, 492, 429?

Answer: LCM of 489, 592, 492, 429 is 1697268144.

2. How to calculate the LCM of 489, 592, 492, 429?

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, 592, 492, 429.

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}.