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LCM of 188, 799, 253, 682

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


Find the LCM of 188, 799, 253, 682 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 188, 799, 253, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,799,253,682

Given numbers are 188,799,253,682

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

The LCM of 188,799,253,682 is 25066228.

Find LCM of 188,799,253,682 with Prime Factorization


2 188, 799, 253, 682
11 94, 799, 253, 341
47 94, 799, 23, 31
2, 17, 23, 31

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

2 x 11 x 47 x 2 x 17 x 23 x 31 = 25066228

Therefore, the lowest common multiple of 188,799,253,682 is 25066228.

LCM Formula to Find Lowest Common Multiple of 188,799,253,682

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.

188 x 799 x 253 x 682 = 25918479752

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.

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

799 : 1, 17, 47, 799

253 : 1, 11, 23, 253

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,799,253,682, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

799:17x 47

253:11x 23

682:2x 11x 31

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

2x 11x 47 = 1034

Therefore, the value for common factors is 1034.

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 = 25918479752/(1x1034)

LCM = 25918479752/1034

LCM = 25066228

Thus, we can understand that the LCM of 188,799,253,682 is 25066228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 799, 253, 682

1. What is the LCM of 188, 799, 253, 682?

Answer: LCM of 188, 799, 253, 682 is 25066228.

2. How to calculate the LCM of 188, 799, 253, 682?

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 188, 799, 253, 682.

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}.