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LCM of 163, 531, 413, 188

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


Find the LCM of 163, 531, 413, 188 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 163, 531, 413, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,531,413,188

Given numbers are 163,531,413,188

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

The LCM of 163,531,413,188 is 113903748.

Find LCM of 163,531,413,188 with Prime Factorization


59 163, 531, 413, 188
163, 9, 7, 188

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

59 x 163 x 9 x 7 x 188 = 113903748

Therefore, the lowest common multiple of 163,531,413,188 is 113903748.

LCM Formula to Find Lowest Common Multiple of 163,531,413,188

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.

163 x 531 x 413 x 188 = 6720321132

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.

163 : 1, 163

531 : 1, 3, 9, 59, 177, 531

413 : 1, 7, 59, 413

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,531,413,188, is 1.

Now, the common factors can be found like this.

163:163

531:3x 3x 59

413:7x 59

188:2x 2x 47

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

59 = 59

Therefore, the value for common factors is 59.

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 = 6720321132/(1x59)

LCM = 6720321132/59

LCM = 113903748

Thus, we can understand that the LCM of 163,531,413,188 is 113903748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 531, 413, 188

1. What is the LCM of 163, 531, 413, 188?

Answer: LCM of 163, 531, 413, 188 is 113903748.

2. How to calculate the LCM of 163, 531, 413, 188?

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 163, 531, 413, 188.

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}.