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LCM of 862, 601, 259, 404, 324

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


Find the LCM of 862, 601, 259, 404, 324 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 862, 601, 259, 404, 324. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,601,259,404,324

Given numbers are 862,601,259,404,324

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

The LCM of 862,601,259,404,324 is 2195421384996.

Find LCM of 862,601,259,404,324 with Prime Factorization


2 862, 601, 259, 404, 324
2 431, 601, 259, 202, 162
431, 601, 259, 101, 81

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

2 x 2 x 431 x 601 x 259 x 101 x 81 = 2195421384996

Therefore, the lowest common multiple of 862,601,259,404,324 is 2195421384996.

LCM Formula to Find Lowest Common Multiple of 862,601,259,404,324

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.

862 x 601 x 259 x 404 x 324 = 17563371079968

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.

862 : 1, 2, 431, 862

601 : 1, 601

259 : 1, 7, 37, 259

404 : 1, 2, 4, 101, 202, 404

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,601,259,404,324, is 1.

Now, the common factors can be found like this.

862:2x 431

601:601

259:7x 37

404:2x 2x 101

324:2x 2x 3x 3x 3x 3

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17563371079968/(1x8)

LCM = 17563371079968/8

LCM = 2195421384996

Thus, we can understand that the LCM of 862,601,259,404,324 is 2195421384996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 601, 259, 404, 324

1. What is the LCM of 862, 601, 259, 404, 324?

Answer: LCM of 862, 601, 259, 404, 324 is 2195421384996.

2. How to calculate the LCM of 862, 601, 259, 404, 324?

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 862, 601, 259, 404, 324.

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}.