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LCM of 768, 163, 786, 786

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


Find the LCM of 768, 163, 786, 786 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 768, 163, 786, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,163,786,786

Given numbers are 768,163,786,786

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

The LCM of 768,163,786,786 is 16399104.

Find LCM of 768,163,786,786 with Prime Factorization


2 768, 163, 786, 786
3 384, 163, 393, 393
131 128, 163, 131, 131
128, 163, 1, 1

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

2 x 3 x 131 x 128 x 163 x 1 x 1 = 16399104

Therefore, the lowest common multiple of 768,163,786,786 is 16399104.

LCM Formula to Find Lowest Common Multiple of 768,163,786,786

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.

768 x 163 x 786 x 786 = 77338174464

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

163 : 1, 163

786 : 1, 2, 3, 6, 131, 262, 393, 786

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,163,786,786, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

163:163

786:2x 3x 131

786:2x 3x 131

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 3x 131 = 4716

Therefore, the value for common factors is 4716.

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 = 77338174464/(1x4716)

LCM = 77338174464/4716

LCM = 16399104

Thus, we can understand that the LCM of 768,163,786,786 is 16399104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 163, 786, 786

1. What is the LCM of 768, 163, 786, 786?

Answer: LCM of 768, 163, 786, 786 is 16399104.

2. How to calculate the LCM of 768, 163, 786, 786?

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 768, 163, 786, 786.

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}.