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LCM of 592, 404, 936, 113

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


Find the LCM of 592, 404, 936, 113 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 592, 404, 936, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,404,936,113

Given numbers are 592,404,936,113

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

The LCM of 592,404,936,113 is 790510032.

Find LCM of 592,404,936,113 with Prime Factorization


2 592, 404, 936, 113
2 296, 202, 468, 113
2 148, 101, 234, 113
74, 101, 117, 113

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

2 x 2 x 2 x 74 x 101 x 117 x 113 = 790510032

Therefore, the lowest common multiple of 592,404,936,113 is 790510032.

LCM Formula to Find Lowest Common Multiple of 592,404,936,113

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.

592 x 404 x 936 x 113 = 25296321024

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,404,936,113, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

404:2x 2x 101

936:2x 2x 2x 3x 3x 13

113:113

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 25296321024/(1x32)

LCM = 25296321024/32

LCM = 790510032

Thus, we can understand that the LCM of 592,404,936,113 is 790510032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 404, 936, 113

1. What is the LCM of 592, 404, 936, 113?

Answer: LCM of 592, 404, 936, 113 is 790510032.

2. How to calculate the LCM of 592, 404, 936, 113?

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 592, 404, 936, 113.

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}.