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LCM of 537, 385, 566, 364

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


Find the LCM of 537, 385, 566, 364 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 537, 385, 566, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,385,566,364

Given numbers are 537,385,566,364

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

The LCM of 537,385,566,364 is 3042459420.

Find LCM of 537,385,566,364 with Prime Factorization


2 537, 385, 566, 364
7 537, 385, 283, 182
537, 55, 283, 26

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

2 x 7 x 537 x 55 x 283 x 26 = 3042459420

Therefore, the lowest common multiple of 537,385,566,364 is 3042459420.

LCM Formula to Find Lowest Common Multiple of 537,385,566,364

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.

537 x 385 x 566 x 364 = 42594431880

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.

537 : 1, 3, 179, 537

385 : 1, 5, 7, 11, 35, 55, 77, 385

566 : 1, 2, 283, 566

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,385,566,364, is 1.

Now, the common factors can be found like this.

537:3x 179

385:5x 7x 11

566:2x 283

364:2x 2x 7x 13

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 = 42594431880/(1x14)

LCM = 42594431880/14

LCM = 3042459420

Thus, we can understand that the LCM of 537,385,566,364 is 3042459420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 385, 566, 364

1. What is the LCM of 537, 385, 566, 364?

Answer: LCM of 537, 385, 566, 364 is 3042459420.

2. How to calculate the LCM of 537, 385, 566, 364?

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 537, 385, 566, 364.

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}.