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LCM of 309, 694, 323, 208

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


Find the LCM of 309, 694, 323, 208 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 309, 694, 323, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,694,323,208

Given numbers are 309,694,323,208

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

The LCM of 309,694,323,208 is 7203670032.

Find LCM of 309,694,323,208 with Prime Factorization


2 309, 694, 323, 208
309, 347, 323, 104

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

2 x 309 x 347 x 323 x 104 = 7203670032

Therefore, the lowest common multiple of 309,694,323,208 is 7203670032.

LCM Formula to Find Lowest Common Multiple of 309,694,323,208

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.

309 x 694 x 323 x 208 = 14407340064

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.

309 : 1, 3, 103, 309

694 : 1, 2, 347, 694

323 : 1, 17, 19, 323

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,694,323,208, is 1.

Now, the common factors can be found like this.

309:3x 103

694:2x 347

323:17x 19

208:2x 2x 2x 2x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14407340064/(1x2)

LCM = 14407340064/2

LCM = 7203670032

Thus, we can understand that the LCM of 309,694,323,208 is 7203670032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 694, 323, 208

1. What is the LCM of 309, 694, 323, 208?

Answer: LCM of 309, 694, 323, 208 is 7203670032.

2. How to calculate the LCM of 309, 694, 323, 208?

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 309, 694, 323, 208.

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}.