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LCM of 489, 222, 360, 966

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


Find the LCM of 489, 222, 360, 966 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, 222, 360, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 489,222,360,966

Given numbers are 489,222,360,966

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

The LCM of 489,222,360,966 is 349556760.

Find LCM of 489,222,360,966 with Prime Factorization


2 489, 222, 360, 966
3 489, 111, 180, 483
163, 37, 60, 161

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

2 x 3 x 163 x 37 x 60 x 161 = 349556760

Therefore, the lowest common multiple of 489,222,360,966 is 349556760.

LCM Formula to Find Lowest Common Multiple of 489,222,360,966

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 222 x 360 x 966 = 37752130080

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

222 : 1, 2, 3, 6, 37, 74, 111, 222

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,222,360,966, is 3.

Now, the common factors can be found like this.

489:3x 163

222:2x 3x 37

360:2x 2x 2x 3x 3x 5

966:2x 3x 7x 23

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 = 37752130080/(3x36)

LCM = 37752130080/108

LCM = 349556760

Thus, we can understand that the LCM of 489,222,360,966 is 349556760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 489, 222, 360, 966

1. What is the LCM of 489, 222, 360, 966?

Answer: LCM of 489, 222, 360, 966 is 349556760.

2. How to calculate the LCM of 489, 222, 360, 966?

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, 222, 360, 966.

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}.