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LCM of 182, 824, 618, 422

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


Find the LCM of 182, 824, 618, 422 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, 824, 618, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,824,618,422

Given numbers are 182,824,618,422

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

The LCM of 182,824,618,422 is 47464872.

Find LCM of 182,824,618,422 with Prime Factorization


2 182, 824, 618, 422
103 91, 412, 309, 211
91, 4, 3, 211

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

2 x 103 x 91 x 4 x 3 x 211 = 47464872

Therefore, the lowest common multiple of 182,824,618,422 is 47464872.

LCM Formula to Find Lowest Common Multiple of 182,824,618,422

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 824 x 618 x 422 = 39111054528

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

618 : 1, 2, 3, 6, 103, 206, 309, 618

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,824,618,422, is 2.

Now, the common factors can be found like this.

182:2x 7x 13

824:2x 2x 2x 103

618:2x 3x 103

422:2x 211

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 103 = 412

Therefore, the value for common factors is 412.

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 = 39111054528/(2x412)

LCM = 39111054528/824

LCM = 47464872

Thus, we can understand that the LCM of 182,824,618,422 is 47464872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 824, 618, 422

1. What is the LCM of 182, 824, 618, 422?

Answer: LCM of 182, 824, 618, 422 is 47464872.

2. How to calculate the LCM of 182, 824, 618, 422?

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, 824, 618, 422.

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}.