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LCM of 182, 211, 922, 182

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


Find the LCM of 182, 211, 922, 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 182, 211, 922, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,211,922,182

Given numbers are 182,211,922,182

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

The LCM of 182,211,922,182 is 17703322.

Find LCM of 182,211,922,182 with Prime Factorization


2 182, 211, 922, 182
7 91, 211, 461, 91
13 13, 211, 461, 13
1, 211, 461, 1

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

2 x 7 x 13 x 1 x 211 x 461 x 1 = 17703322

Therefore, the lowest common multiple of 182,211,922,182 is 17703322.

LCM Formula to Find Lowest Common Multiple of 182,211,922,182

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.

182 x 211 x 922 x 182 = 6444009208

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.

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

211 : 1, 211

922 : 1, 2, 461, 922

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,211,922,182, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

211:211

922:2x 461

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 6444009208/(1x364)

LCM = 6444009208/364

LCM = 17703322

Thus, we can understand that the LCM of 182,211,922,182 is 17703322.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 211, 922, 182

1. What is the LCM of 182, 211, 922, 182?

Answer: LCM of 182, 211, 922, 182 is 17703322.

2. How to calculate the LCM of 182, 211, 922, 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 182, 211, 922, 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}.