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LCM of 489, 334, 410, 668

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


Find the LCM of 489, 334, 410, 668 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, 334, 410, 668. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,334,410,668

Given numbers are 489,334,410,668

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

The LCM of 489,334,410,668 is 66963660.

Find LCM of 489,334,410,668 with Prime Factorization


2 489, 334, 410, 668
167 489, 167, 205, 334
489, 1, 205, 2

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

2 x 167 x 489 x 1 x 205 x 2 = 66963660

Therefore, the lowest common multiple of 489,334,410,668 is 66963660.

LCM Formula to Find Lowest Common Multiple of 489,334,410,668

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 334 x 410 x 668 = 44731724880

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

334 : 1, 2, 167, 334

410 : 1, 2, 5, 10, 41, 82, 205, 410

668 : 1, 2, 4, 167, 334, 668

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,334,410,668, is 1.

Now, the common factors can be found like this.

489:3x 163

334:2x 167

410:2x 5x 41

668:2x 2x 167

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 167 = 668

Therefore, the value for common factors is 668.

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 = 44731724880/(1x668)

LCM = 44731724880/668

LCM = 66963660

Thus, we can understand that the LCM of 489,334,410,668 is 66963660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 334, 410, 668

1. What is the LCM of 489, 334, 410, 668?

Answer: LCM of 489, 334, 410, 668 is 66963660.

2. How to calculate the LCM of 489, 334, 410, 668?

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, 334, 410, 668.

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}.