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LCM of 366, 208, 416, 811

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


Find the LCM of 366, 208, 416, 811 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 366, 208, 416, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 366,208,416,811

Given numbers are 366,208,416,811

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

The LCM of 366,208,416,811 is 61739808.

Find LCM of 366,208,416,811 with Prime Factorization


2 366, 208, 416, 811
2 183, 104, 208, 811
2 183, 52, 104, 811
2 183, 26, 52, 811
13 183, 13, 26, 811
183, 1, 2, 811

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

2 x 2 x 2 x 2 x 13 x 183 x 1 x 2 x 811 = 61739808

Therefore, the lowest common multiple of 366,208,416,811 is 61739808.

LCM Formula to Find Lowest Common Multiple of 366,208,416,811

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.

366 x 208 x 416 x 811 = 25683760128

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,208,416,811, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

208:2x 2x 2x 2x 13

416:2x 2x 2x 2x 2x 13

811:811

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 25683760128/(1x416)

LCM = 25683760128/416

LCM = 61739808

Thus, we can understand that the LCM of 366,208,416,811 is 61739808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 366, 208, 416, 811

1. What is the LCM of 366, 208, 416, 811?

Answer: LCM of 366, 208, 416, 811 is 61739808.

2. How to calculate the LCM of 366, 208, 416, 811?

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 366, 208, 416, 811.

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}.