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LCM of 382, 764, 106

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


Find the LCM of 382, 764, 106 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, 764, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,764,106

Given numbers are 382,764,106

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

The LCM of 382,764,106 is 40492.

Find LCM of 382,764,106 with Prime Factorization


2 382, 764, 106
191 191, 382, 53
1, 2, 53

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

2 x 191 x 1 x 2 x 53 = 40492

Therefore, the lowest common multiple of 382,764,106 is 40492.

LCM Formula to Find Lowest Common Multiple of 382,764,106

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 764 x 106 = 30935888

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

764 : 1, 2, 4, 191, 382, 764

106 : 1, 2, 53, 106

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,764,106, is 2.

Now, the common factors can be found like this.

382:2x 191

764:2x 2x 191

106:2x 53

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

2x 191 = 382

Therefore, the value for common factors is 382.

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 = 30935888/(2x382)

LCM = 30935888/764

LCM = 40492

Thus, we can understand that the LCM of 382,764,106 is 40492.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 382, 764, 106

1. What is the LCM of 382, 764, 106?

Answer: LCM of 382, 764, 106 is 40492.

2. How to calculate the LCM of 382, 764, 106?

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, 764, 106.

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}.