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LCM of 358, 614, 663, 916, 209

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


Find the LCM of 358, 614, 663, 916, 209 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 358, 614, 663, 916, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,614,663,916,209

Given numbers are 358,614,663,916,209

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

The LCM of 358,614,663,916,209 is 6975039873516.

Find LCM of 358,614,663,916,209 with Prime Factorization


2 358, 614, 663, 916, 209
179, 307, 663, 458, 209

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

2 x 179 x 307 x 663 x 458 x 209 = 6975039873516

Therefore, the lowest common multiple of 358,614,663,916,209 is 6975039873516.

LCM Formula to Find Lowest Common Multiple of 358,614,663,916,209

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.

358 x 614 x 663 x 916 x 209 = 27900159494064

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.

358 : 1, 2, 179, 358

614 : 1, 2, 307, 614

663 : 1, 3, 13, 17, 39, 51, 221, 663

916 : 1, 2, 4, 229, 458, 916

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,614,663,916,209, is 1.

Now, the common factors can be found like this.

358:2x 179

614:2x 307

663:3x 13x 17

916:2x 2x 229

209:11x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27900159494064/(1x4)

LCM = 27900159494064/4

LCM = 6975039873516

Thus, we can understand that the LCM of 358,614,663,916,209 is 6975039873516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 614, 663, 916, 209

1. What is the LCM of 358, 614, 663, 916, 209?

Answer: LCM of 358, 614, 663, 916, 209 is 6975039873516.

2. How to calculate the LCM of 358, 614, 663, 916, 209?

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 358, 614, 663, 916, 209.

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}.