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LCM of 741, 384, 646, 182

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


Find the LCM of 741, 384, 646, 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 741, 384, 646, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,384,646,182

Given numbers are 741,384,646,182

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

The LCM of 741,384,646,182 is 11286912.

Find LCM of 741,384,646,182 with Prime Factorization


2 741, 384, 646, 182
3 741, 192, 323, 91
13 247, 64, 323, 91
19 19, 64, 323, 7
1, 64, 17, 7

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

2 x 3 x 13 x 19 x 1 x 64 x 17 x 7 = 11286912

Therefore, the lowest common multiple of 741,384,646,182 is 11286912.

LCM Formula to Find Lowest Common Multiple of 741,384,646,182

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.

741 x 384 x 646 x 182 = 33454407168

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

646 : 1, 2, 17, 19, 34, 38, 323, 646

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 741,384,646,182, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

384:2x 2x 2x 2x 2x 2x 2x 3

646:2x 17x 19

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 3x 13x 19 = 2964

Therefore, the value for common factors is 2964.

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 = 33454407168/(1x2964)

LCM = 33454407168/2964

LCM = 11286912

Thus, we can understand that the LCM of 741,384,646,182 is 11286912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 384, 646, 182

1. What is the LCM of 741, 384, 646, 182?

Answer: LCM of 741, 384, 646, 182 is 11286912.

2. How to calculate the LCM of 741, 384, 646, 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 741, 384, 646, 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}.