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LCM of 210, 608, 106, 182

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


Find the LCM of 210, 608, 106, 182 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 210, 608, 106, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,608,106,182

Given numbers are 210,608,106,182

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

The LCM of 210,608,106,182 is 43985760.

Find LCM of 210,608,106,182 with Prime Factorization


2 210, 608, 106, 182
7 105, 304, 53, 91
15, 304, 53, 13

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

2 x 7 x 15 x 304 x 53 x 13 = 43985760

Therefore, the lowest common multiple of 210,608,106,182 is 43985760.

LCM Formula to Find Lowest Common Multiple of 210,608,106,182

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.

210 x 608 x 106 x 182 = 2463202560

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

106 : 1, 2, 53, 106

182 : 1, 2, 7, 13, 14, 26, 91, 182

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,608,106,182, is 2.

Now, the common factors can be found like this.

210:2x 3x 5x 7

608:2x 2x 2x 2x 2x 19

106:2x 53

182:2x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 2463202560/(2x28)

LCM = 2463202560/56

LCM = 43985760

Thus, we can understand that the LCM of 210,608,106,182 is 43985760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 608, 106, 182

1. What is the LCM of 210, 608, 106, 182?

Answer: LCM of 210, 608, 106, 182 is 43985760.

2. How to calculate the LCM of 210, 608, 106, 182?

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 210, 608, 106, 182.

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}.