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LCM of 622, 473, 558, 318, 166

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


Find the LCM of 622, 473, 558, 318, 166 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 622, 473, 558, 318, 166. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 622,473,558,318,166

Given numbers are 622,473,558,318,166

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

The LCM of 622,473,558,318,166 is 361085202126.

Find LCM of 622,473,558,318,166 with Prime Factorization


2 622, 473, 558, 318, 166
3 311, 473, 279, 159, 83
311, 473, 93, 53, 83

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

2 x 3 x 311 x 473 x 93 x 53 x 83 = 361085202126

Therefore, the lowest common multiple of 622,473,558,318,166 is 361085202126.

LCM Formula to Find Lowest Common Multiple of 622,473,558,318,166

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.

622 x 473 x 558 x 318 x 166 = 8666044851024

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.

622 : 1, 2, 311, 622

473 : 1, 11, 43, 473

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

318 : 1, 2, 3, 6, 53, 106, 159, 318

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,473,558,318,166, is 1.

Now, the common factors can be found like this.

622:2x 311

473:11x 43

558:2x 3x 3x 31

318:2x 3x 53

166:2x 83

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8666044851024/(1x24)

LCM = 8666044851024/24

LCM = 361085202126

Thus, we can understand that the LCM of 622,473,558,318,166 is 361085202126.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 622, 473, 558, 318, 166

1. What is the LCM of 622, 473, 558, 318, 166?

Answer: LCM of 622, 473, 558, 318, 166 is 361085202126.

2. How to calculate the LCM of 622, 473, 558, 318, 166?

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 622, 473, 558, 318, 166.

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}.