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LCM of 186, 338, 992, 143

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


Find the LCM of 186, 338, 992, 143 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 186, 338, 992, 143. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 186,338,992,143

Given numbers are 186,338,992,143

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

The LCM of 186,338,992,143 is 5532384.

Find LCM of 186,338,992,143 with Prime Factorization


2 186, 338, 992, 143
13 93, 169, 496, 143
31 93, 13, 496, 11
3, 13, 16, 11

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

2 x 13 x 31 x 3 x 13 x 16 x 11 = 5532384

Therefore, the lowest common multiple of 186,338,992,143 is 5532384.

LCM Formula to Find Lowest Common Multiple of 186,338,992,143

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.

186 x 338 x 992 x 143 = 8918203008

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.

186 : 1, 2, 3, 6, 31, 62, 93, 186

338 : 1, 2, 13, 26, 169, 338

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,338,992,143, is 1.

Now, the common factors can be found like this.

186:2x 3x 31

338:2x 13x 13

992:2x 2x 2x 2x 2x 31

143:11x 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 13x 31 = 1612

Therefore, the value for common factors is 1612.

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 = 8918203008/(1x1612)

LCM = 8918203008/1612

LCM = 5532384

Thus, we can understand that the LCM of 186,338,992,143 is 5532384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 186, 338, 992, 143

1. What is the LCM of 186, 338, 992, 143?

Answer: LCM of 186, 338, 992, 143 is 5532384.

2. How to calculate the LCM of 186, 338, 992, 143?

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 186, 338, 992, 143.

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}.