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LCM of 666, 384, 846, 990

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


Find the LCM of 666, 384, 846, 990 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 666, 384, 846, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,384,846,990

Given numbers are 666,384,846,990

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

The LCM of 666,384,846,990 is 110183040.

Find LCM of 666,384,846,990 with Prime Factorization


2 666, 384, 846, 990
3 333, 192, 423, 495
3 111, 64, 141, 165
37, 64, 47, 55

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

2 x 3 x 3 x 37 x 64 x 47 x 55 = 110183040

Therefore, the lowest common multiple of 666,384,846,990 is 110183040.

LCM Formula to Find Lowest Common Multiple of 666,384,846,990

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.

666 x 384 x 846 x 990 = 214195829760

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.

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,384,846,990, is 6.

Now, the common factors can be found like this.

666:2x 3x 3x 37

384:2x 2x 2x 2x 2x 2x 2x 3

846:2x 3x 3x 47

990:2x 3x 3x 5x 11

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 214195829760/(6x324)

LCM = 214195829760/1944

LCM = 110183040

Thus, we can understand that the LCM of 666,384,846,990 is 110183040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 384, 846, 990

1. What is the LCM of 666, 384, 846, 990?

Answer: LCM of 666, 384, 846, 990 is 110183040.

2. How to calculate the LCM of 666, 384, 846, 990?

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 666, 384, 846, 990.

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}.