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LCM of 388, 364, 546

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


Find the LCM of 388, 364, 546 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 388, 364, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,364,546

Given numbers are 388,364,546

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

The LCM of 388,364,546 is 105924.

Find LCM of 388,364,546 with Prime Factorization


2 388, 364, 546
2 194, 182, 273
7 97, 91, 273
13 97, 13, 39
97, 1, 3

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

2 x 2 x 7 x 13 x 97 x 1 x 3 = 105924

Therefore, the lowest common multiple of 388,364,546 is 105924.

LCM Formula to Find Lowest Common Multiple of 388,364,546

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.

388 x 364 x 546 = 77112672

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.

388 : 1, 2, 4, 97, 194, 388

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,364,546, is 2.

Now, the common factors can be found like this.

388:2x 2x 97

364:2x 2x 7x 13

546:2x 3x 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 2x 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 77112672/(2x364)

LCM = 77112672/728

LCM = 105924

Thus, we can understand that the LCM of 388,364,546 is 105924.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 388, 364, 546

1. What is the LCM of 388, 364, 546?

Answer: LCM of 388, 364, 546 is 105924.

2. How to calculate the LCM of 388, 364, 546?

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 388, 364, 546.

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}.