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LCM of 558, 806, 433, 966

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


Find the LCM of 558, 806, 433, 966 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 558, 806, 433, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,806,433,966

Given numbers are 558,806,433,966

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

The LCM of 558,806,433,966 is 505698102.

Find LCM of 558,806,433,966 with Prime Factorization


2 558, 806, 433, 966
3 279, 403, 433, 483
31 93, 403, 433, 161
3, 13, 433, 161

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

2 x 3 x 31 x 3 x 13 x 433 x 161 = 505698102

Therefore, the lowest common multiple of 558,806,433,966 is 505698102.

LCM Formula to Find Lowest Common Multiple of 558,806,433,966

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.

558 x 806 x 433 x 966 = 188119693944

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.

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

433 : 1, 433

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,806,433,966, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

806:2x 13x 31

433:433

966:2x 3x 7x 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 3x 31 = 372

Therefore, the value for common factors is 372.

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 = 188119693944/(1x372)

LCM = 188119693944/372

LCM = 505698102

Thus, we can understand that the LCM of 558,806,433,966 is 505698102.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 806, 433, 966

1. What is the LCM of 558, 806, 433, 966?

Answer: LCM of 558, 806, 433, 966 is 505698102.

2. How to calculate the LCM of 558, 806, 433, 966?

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 558, 806, 433, 966.

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}.