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LCM of 358, 184, 667, 305

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


Find the LCM of 358, 184, 667, 305 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, 184, 667, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,184,667,305

Given numbers are 358,184,667,305

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

The LCM of 358,184,667,305 is 291318920.

Find LCM of 358,184,667,305 with Prime Factorization


2 358, 184, 667, 305
23 179, 92, 667, 305
179, 4, 29, 305

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

2 x 23 x 179 x 4 x 29 x 305 = 291318920

Therefore, the lowest common multiple of 358,184,667,305 is 291318920.

LCM Formula to Find Lowest Common Multiple of 358,184,667,305

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 184 x 667 x 305 = 13400670320

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

184 : 1, 2, 4, 8, 23, 46, 92, 184

667 : 1, 23, 29, 667

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,184,667,305, is 1.

Now, the common factors can be found like this.

358:2x 179

184:2x 2x 2x 23

667:23x 29

305:5x 61

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 13400670320/(1x46)

LCM = 13400670320/46

LCM = 291318920

Thus, we can understand that the LCM of 358,184,667,305 is 291318920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 184, 667, 305

1. What is the LCM of 358, 184, 667, 305?

Answer: LCM of 358, 184, 667, 305 is 291318920.

2. How to calculate the LCM of 358, 184, 667, 305?

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, 184, 667, 305.

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}.