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LCM of 403, 444, 404, 596

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


Find the LCM of 403, 444, 404, 596 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 403, 444, 404, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,444,404,596

Given numbers are 403,444,404,596

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

The LCM of 403,444,404,596 is 2692747668.

Find LCM of 403,444,404,596 with Prime Factorization


2 403, 444, 404, 596
2 403, 222, 202, 298
403, 111, 101, 149

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

2 x 2 x 403 x 111 x 101 x 149 = 2692747668

Therefore, the lowest common multiple of 403,444,404,596 is 2692747668.

LCM Formula to Find Lowest Common Multiple of 403,444,404,596

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.

403 x 444 x 404 x 596 = 43083962688

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.

403 : 1, 13, 31, 403

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

404 : 1, 2, 4, 101, 202, 404

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,444,404,596, is 1.

Now, the common factors can be found like this.

403:13x 31

444:2x 2x 3x 37

404:2x 2x 101

596:2x 2x 149

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 2 = 16

Therefore, the value for common factors is 16.

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 = 43083962688/(1x16)

LCM = 43083962688/16

LCM = 2692747668

Thus, we can understand that the LCM of 403,444,404,596 is 2692747668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 444, 404, 596

1. What is the LCM of 403, 444, 404, 596?

Answer: LCM of 403, 444, 404, 596 is 2692747668.

2. How to calculate the LCM of 403, 444, 404, 596?

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 403, 444, 404, 596.

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}.