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LCM of 858, 462, 122, 327, 536

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


Find the LCM of 858, 462, 122, 327, 536 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 858, 462, 122, 327, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,462,122,327,536

Given numbers are 858,462,122,327,536

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

The LCM of 858,462,122,327,536 is 10702283592.

Find LCM of 858,462,122,327,536 with Prime Factorization


2 858, 462, 122, 327, 536
3 429, 231, 61, 327, 268
11 143, 77, 61, 109, 268
13, 7, 61, 109, 268

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

2 x 3 x 11 x 13 x 7 x 61 x 109 x 268 = 10702283592

Therefore, the lowest common multiple of 858,462,122,327,536 is 10702283592.

LCM Formula to Find Lowest Common Multiple of 858,462,122,327,536

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.

858 x 462 x 122 x 327 x 536 = 8476208604864

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.

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

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

122 : 1, 2, 61, 122

327 : 1, 3, 109, 327

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,462,122,327,536, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

462:2x 3x 7x 11

122:2x 61

327:3x 109

536:2x 2x 2x 67

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 8476208604864/(1x792)

LCM = 8476208604864/792

LCM = 10702283592

Thus, we can understand that the LCM of 858,462,122,327,536 is 10702283592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 462, 122, 327, 536

1. What is the LCM of 858, 462, 122, 327, 536?

Answer: LCM of 858, 462, 122, 327, 536 is 10702283592.

2. How to calculate the LCM of 858, 462, 122, 327, 536?

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 858, 462, 122, 327, 536.

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}.