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LCM of 849, 147, 366, 368

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


Find the LCM of 849, 147, 366, 368 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 849, 147, 366, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,147,366,368

Given numbers are 849,147,366,368

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

The LCM of 849,147,366,368 is 933859248.

Find LCM of 849,147,366,368 with Prime Factorization


2 849, 147, 366, 368
3 849, 147, 183, 184
283, 49, 61, 184

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

2 x 3 x 283 x 49 x 61 x 184 = 933859248

Therefore, the lowest common multiple of 849,147,366,368 is 933859248.

LCM Formula to Find Lowest Common Multiple of 849,147,366,368

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.

849 x 147 x 366 x 368 = 16809466464

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.

849 : 1, 3, 283, 849

147 : 1, 3, 7, 21, 49, 147

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,147,366,368, is 1.

Now, the common factors can be found like this.

849:3x 283

147:3x 7x 7

366:2x 3x 61

368:2x 2x 2x 2x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 16809466464/(1x18)

LCM = 16809466464/18

LCM = 933859248

Thus, we can understand that the LCM of 849,147,366,368 is 933859248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 147, 366, 368

1. What is the LCM of 849, 147, 366, 368?

Answer: LCM of 849, 147, 366, 368 is 933859248.

2. How to calculate the LCM of 849, 147, 366, 368?

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 849, 147, 366, 368.

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}.