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LCM of 266, 779, 361, 566

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


Find the LCM of 266, 779, 361, 566 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 266, 779, 361, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 266,779,361,566

Given numbers are 266,779,361,566

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

The LCM of 266,779,361,566 is 58641562.

Find LCM of 266,779,361,566 with Prime Factorization


2 266, 779, 361, 566
19 133, 779, 361, 283
7, 41, 19, 283

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

2 x 19 x 7 x 41 x 19 x 283 = 58641562

Therefore, the lowest common multiple of 266,779,361,566 is 58641562.

LCM Formula to Find Lowest Common Multiple of 266,779,361,566

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.

266 x 779 x 361 x 566 = 42339207764

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.

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

779 : 1, 19, 41, 779

361 : 1, 19, 361

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,779,361,566, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

779:19x 41

361:19x 19

566:2x 283

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

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 42339207764/(1x722)

LCM = 42339207764/722

LCM = 58641562

Thus, we can understand that the LCM of 266,779,361,566 is 58641562.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 266, 779, 361, 566

1. What is the LCM of 266, 779, 361, 566?

Answer: LCM of 266, 779, 361, 566 is 58641562.

2. How to calculate the LCM of 266, 779, 361, 566?

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 266, 779, 361, 566.

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}.