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LCM of 482, 105, 660, 966, 818

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


Find the LCM of 482, 105, 660, 966, 818 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 482, 105, 660, 966, 818. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 482,105,660,966,818

Given numbers are 482,105,660,966,818

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

The LCM of 482,105,660,966,818 is 10473941940.

Find LCM of 482,105,660,966,818 with Prime Factorization


2 482, 105, 660, 966, 818
3 241, 105, 330, 483, 409
5 241, 35, 110, 161, 409
7 241, 7, 22, 161, 409
241, 1, 22, 23, 409

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

2 x 3 x 5 x 7 x 241 x 1 x 22 x 23 x 409 = 10473941940

Therefore, the lowest common multiple of 482,105,660,966,818 is 10473941940.

LCM Formula to Find Lowest Common Multiple of 482,105,660,966,818

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.

482 x 105 x 660 x 966 x 818 = 26394333688800

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.

482 : 1, 2, 241, 482

105 : 1, 3, 5, 7, 15, 21, 35, 105

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,105,660,966,818, is 1.

Now, the common factors can be found like this.

482:2x 241

105:3x 5x 7

660:2x 2x 3x 5x 11

966:2x 3x 7x 23

818:2x 409

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 2x 3x 3x 5x 7 = 2520

Therefore, the value for common factors is 2520.

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 = 26394333688800/(1x2520)

LCM = 26394333688800/2520

LCM = 10473941940

Thus, we can understand that the LCM of 482,105,660,966,818 is 10473941940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 482, 105, 660, 966, 818

1. What is the LCM of 482, 105, 660, 966, 818?

Answer: LCM of 482, 105, 660, 966, 818 is 10473941940.

2. How to calculate the LCM of 482, 105, 660, 966, 818?

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 482, 105, 660, 966, 818.

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}.