LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 862, 259, 230, 858, 368

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


Find the LCM of 862, 259, 230, 858, 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 862, 259, 230, 858, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,259,230,858,368

Given numbers are 862,259,230,858,368

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

The LCM of 862,259,230,858,368 is 88115467440.

Find LCM of 862,259,230,858,368 with Prime Factorization


2 862, 259, 230, 858, 368
23 431, 259, 115, 429, 184
431, 259, 5, 429, 8

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

2 x 23 x 431 x 259 x 5 x 429 x 8 = 88115467440

Therefore, the lowest common multiple of 862,259,230,858,368 is 88115467440.

LCM Formula to Find Lowest Common Multiple of 862,259,230,858,368

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.

862 x 259 x 230 x 858 x 368 = 16213246008960

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

259 : 1, 7, 37, 259

230 : 1, 2, 5, 10, 23, 46, 115, 230

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 862,259,230,858,368, is 1.

Now, the common factors can be found like this.

862:2x 431

259:7x 37

230:2x 5x 23

858:2x 3x 11x 13

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 2x 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 16213246008960/(1x184)

LCM = 16213246008960/184

LCM = 88115467440

Thus, we can understand that the LCM of 862,259,230,858,368 is 88115467440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 259, 230, 858, 368

1. What is the LCM of 862, 259, 230, 858, 368?

Answer: LCM of 862, 259, 230, 858, 368 is 88115467440.

2. How to calculate the LCM of 862, 259, 230, 858, 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 862, 259, 230, 858, 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}.