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LCM of 366, 409, 266, 511

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


Find the LCM of 366, 409, 266, 511 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, 409, 266, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 366,409,266,511

Given numbers are 366,409,266,511

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

The LCM of 366,409,266,511 is 1453379046.

Find LCM of 366,409,266,511 with Prime Factorization


2 366, 409, 266, 511
7 183, 409, 133, 511
183, 409, 19, 73

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

2 x 7 x 183 x 409 x 19 x 73 = 1453379046

Therefore, the lowest common multiple of 366,409,266,511 is 1453379046.

LCM Formula to Find Lowest Common Multiple of 366,409,266,511

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 409 x 266 x 511 = 20347306644

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

409 : 1, 409

266 : 1, 2, 7, 14, 19, 38, 133, 266

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,409,266,511, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

409:409

266:2x 7x 19

511:7x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 20347306644/(1x14)

LCM = 20347306644/14

LCM = 1453379046

Thus, we can understand that the LCM of 366,409,266,511 is 1453379046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 366, 409, 266, 511

1. What is the LCM of 366, 409, 266, 511?

Answer: LCM of 366, 409, 266, 511 is 1453379046.

2. How to calculate the LCM of 366, 409, 266, 511?

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, 409, 266, 511.

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}.