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LCM of 704, 231, 616, 308

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


Find the LCM of 704, 231, 616, 308 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 704, 231, 616, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,231,616,308

Given numbers are 704,231,616,308

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

The LCM of 704,231,616,308 is 14784.

Find LCM of 704,231,616,308 with Prime Factorization


2 704, 231, 616, 308
2 352, 231, 308, 154
2 176, 231, 77, 154
7 88, 231, 77, 77
11 88, 33, 11, 11
8, 3, 1, 1

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

2 x 2 x 2 x 7 x 11 x 8 x 3 x 1 x 1 = 14784

Therefore, the lowest common multiple of 704,231,616,308 is 14784.

LCM Formula to Find Lowest Common Multiple of 704,231,616,308

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.

704 x 231 x 616 x 308 = 30854326272

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

231 : 1, 3, 7, 11, 21, 33, 77, 231

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,231,616,308, is 11.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

231:3x 7x 11

616:2x 2x 2x 7x 11

308:2x 2x 7x 11

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 2x 2x 2x 7x 7x 11x 11 = 189728

Therefore, the value for common factors is 189728.

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 = 30854326272/(11x189728)

LCM = 30854326272/2087008

LCM = 14784

Thus, we can understand that the LCM of 704,231,616,308 is 14784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 231, 616, 308

1. What is the LCM of 704, 231, 616, 308?

Answer: LCM of 704, 231, 616, 308 is 14784.

2. How to calculate the LCM of 704, 231, 616, 308?

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 704, 231, 616, 308.

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}.