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LCM of 682, 358, 298, 179

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


Find the LCM of 682, 358, 298, 179 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 682, 358, 298, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,358,298,179

Given numbers are 682,358,298,179

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

The LCM of 682,358,298,179 is 18189622.

Find LCM of 682,358,298,179 with Prime Factorization


2 682, 358, 298, 179
179 341, 179, 149, 179
341, 1, 149, 1

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

2 x 179 x 341 x 1 x 149 x 1 = 18189622

Therefore, the lowest common multiple of 682,358,298,179 is 18189622.

LCM Formula to Find Lowest Common Multiple of 682,358,298,179

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.

682 x 358 x 298 x 179 = 13023769352

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

358 : 1, 2, 179, 358

298 : 1, 2, 149, 298

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,358,298,179, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

358:2x 179

298:2x 149

179:179

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 179 = 716

Therefore, the value for common factors is 716.

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 = 13023769352/(1x716)

LCM = 13023769352/716

LCM = 18189622

Thus, we can understand that the LCM of 682,358,298,179 is 18189622.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 358, 298, 179

1. What is the LCM of 682, 358, 298, 179?

Answer: LCM of 682, 358, 298, 179 is 18189622.

2. How to calculate the LCM of 682, 358, 298, 179?

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 682, 358, 298, 179.

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}.