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LCM of 629, 384, 471, 309

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


Find the LCM of 629, 384, 471, 309 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 629, 384, 471, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,384,471,309

Given numbers are 629,384,471,309

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

The LCM of 629,384,471,309 is 3905878656.

Find LCM of 629,384,471,309 with Prime Factorization


3 629, 384, 471, 309
629, 128, 157, 103

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

3 x 629 x 128 x 157 x 103 = 3905878656

Therefore, the lowest common multiple of 629,384,471,309 is 3905878656.

LCM Formula to Find Lowest Common Multiple of 629,384,471,309

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.

629 x 384 x 471 x 309 = 35152907904

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.

629 : 1, 17, 37, 629

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

471 : 1, 3, 157, 471

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,384,471,309, is 1.

Now, the common factors can be found like this.

629:17x 37

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

471:3x 157

309:3x 103

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 35152907904/(1x9)

LCM = 35152907904/9

LCM = 3905878656

Thus, we can understand that the LCM of 629,384,471,309 is 3905878656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 384, 471, 309

1. What is the LCM of 629, 384, 471, 309?

Answer: LCM of 629, 384, 471, 309 is 3905878656.

2. How to calculate the LCM of 629, 384, 471, 309?

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 629, 384, 471, 309.

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}.