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LCM of 422, 216, 403, 183

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


Find the LCM of 422, 216, 403, 183 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 422, 216, 403, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,216,403,183

Given numbers are 422,216,403,183

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

The LCM of 422,216,403,183 is 1120394808.

Find LCM of 422,216,403,183 with Prime Factorization


2 422, 216, 403, 183
3 211, 108, 403, 183
211, 36, 403, 61

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

2 x 3 x 211 x 36 x 403 x 61 = 1120394808

Therefore, the lowest common multiple of 422,216,403,183 is 1120394808.

LCM Formula to Find Lowest Common Multiple of 422,216,403,183

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.

422 x 216 x 403 x 183 = 6722368848

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.

422 : 1, 2, 211, 422

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

403 : 1, 13, 31, 403

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,216,403,183, is 1.

Now, the common factors can be found like this.

422:2x 211

216:2x 2x 2x 3x 3x 3

403:13x 31

183:3x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 6722368848/(1x6)

LCM = 6722368848/6

LCM = 1120394808

Thus, we can understand that the LCM of 422,216,403,183 is 1120394808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 216, 403, 183

1. What is the LCM of 422, 216, 403, 183?

Answer: LCM of 422, 216, 403, 183 is 1120394808.

2. How to calculate the LCM of 422, 216, 403, 183?

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 422, 216, 403, 183.

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}.