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LCM of 391, 184, 226, 366

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


Find the LCM of 391, 184, 226, 366 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 391, 184, 226, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,184,226,366

Given numbers are 391,184,226,366

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

The LCM of 391,184,226,366 is 64683912.

Find LCM of 391,184,226,366 with Prime Factorization


2 391, 184, 226, 366
23 391, 92, 113, 183
17, 4, 113, 183

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

2 x 23 x 17 x 4 x 113 x 183 = 64683912

Therefore, the lowest common multiple of 391,184,226,366 is 64683912.

LCM Formula to Find Lowest Common Multiple of 391,184,226,366

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.

391 x 184 x 226 x 366 = 5950919904

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.

391 : 1, 17, 23, 391

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

226 : 1, 2, 113, 226

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,184,226,366, is 1.

Now, the common factors can be found like this.

391:17x 23

184:2x 2x 2x 23

226:2x 113

366:2x 3x 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 2x 23 = 92

Therefore, the value for common factors is 92.

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 = 5950919904/(1x92)

LCM = 5950919904/92

LCM = 64683912

Thus, we can understand that the LCM of 391,184,226,366 is 64683912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 184, 226, 366

1. What is the LCM of 391, 184, 226, 366?

Answer: LCM of 391, 184, 226, 366 is 64683912.

2. How to calculate the LCM of 391, 184, 226, 366?

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 391, 184, 226, 366.

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}.