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LCM of 382, 862, 111, 862

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


Find the LCM of 382, 862, 111, 862 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 382, 862, 111, 862. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,862,111,862

Given numbers are 382,862,111,862

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

The LCM of 382,862,111,862 is 18275262.

Find LCM of 382,862,111,862 with Prime Factorization


2 382, 862, 111, 862
431 191, 431, 111, 431
191, 1, 111, 1

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

2 x 431 x 191 x 1 x 111 x 1 = 18275262

Therefore, the lowest common multiple of 382,862,111,862 is 18275262.

LCM Formula to Find Lowest Common Multiple of 382,862,111,862

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.

382 x 862 x 111 x 862 = 31506551688

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.

382 : 1, 2, 191, 382

862 : 1, 2, 431, 862

111 : 1, 3, 37, 111

862 : 1, 2, 431, 862

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,862,111,862, is 1.

Now, the common factors can be found like this.

382:2x 191

862:2x 431

111:3x 37

862:2x 431

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 431 = 1724

Therefore, the value for common factors is 1724.

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 = 31506551688/(1x1724)

LCM = 31506551688/1724

LCM = 18275262

Thus, we can understand that the LCM of 382,862,111,862 is 18275262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 862, 111, 862

1. What is the LCM of 382, 862, 111, 862?

Answer: LCM of 382, 862, 111, 862 is 18275262.

2. How to calculate the LCM of 382, 862, 111, 862?

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 382, 862, 111, 862.

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}.