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LCM of 209, 578, 343, 696

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


Find the LCM of 209, 578, 343, 696 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 209, 578, 343, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,578,343,696

Given numbers are 209,578,343,696

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

The LCM of 209,578,343,696 is 14419409928.

Find LCM of 209,578,343,696 with Prime Factorization


2 209, 578, 343, 696
209, 289, 343, 348

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

2 x 209 x 289 x 343 x 348 = 14419409928

Therefore, the lowest common multiple of 209,578,343,696 is 14419409928.

LCM Formula to Find Lowest Common Multiple of 209,578,343,696

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.

209 x 578 x 343 x 696 = 28838819856

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.

209 : 1, 11, 19, 209

578 : 1, 2, 17, 34, 289, 578

343 : 1, 7, 49, 343

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,578,343,696, is 1.

Now, the common factors can be found like this.

209:11x 19

578:2x 17x 17

343:7x 7x 7

696:2x 2x 2x 3x 29

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 = 28838819856/(1x2)

LCM = 28838819856/2

LCM = 14419409928

Thus, we can understand that the LCM of 209,578,343,696 is 14419409928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 578, 343, 696

1. What is the LCM of 209, 578, 343, 696?

Answer: LCM of 209, 578, 343, 696 is 14419409928.

2. How to calculate the LCM of 209, 578, 343, 696?

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 209, 578, 343, 696.

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}.