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LCM of 966, 636, 886, 305

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


Find the LCM of 966, 636, 886, 305 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 966, 636, 886, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,636,886,305

Given numbers are 966,636,886,305

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

The LCM of 966,636,886,305 is 13835235540.

Find LCM of 966,636,886,305 with Prime Factorization


2 966, 636, 886, 305
3 483, 318, 443, 305
161, 106, 443, 305

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

2 x 3 x 161 x 106 x 443 x 305 = 13835235540

Therefore, the lowest common multiple of 966,636,886,305 is 13835235540.

LCM Formula to Find Lowest Common Multiple of 966,636,886,305

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.

966 x 636 x 886 x 305 = 166022826480

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.

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

886 : 1, 2, 443, 886

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,636,886,305, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

636:2x 2x 3x 53

886:2x 443

305:5x 61

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 3 = 12

Therefore, the value for common factors is 12.

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 = 166022826480/(1x12)

LCM = 166022826480/12

LCM = 13835235540

Thus, we can understand that the LCM of 966,636,886,305 is 13835235540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 636, 886, 305

1. What is the LCM of 966, 636, 886, 305?

Answer: LCM of 966, 636, 886, 305 is 13835235540.

2. How to calculate the LCM of 966, 636, 886, 305?

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 966, 636, 886, 305.

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}.