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LCM of 767, 333, 391, 786

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


Find the LCM of 767, 333, 391, 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 767, 333, 391, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,333,391,786

Given numbers are 767,333,391,786

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

The LCM of 767,333,391,786 is 26164813662.

Find LCM of 767,333,391,786 with Prime Factorization


3 767, 333, 391, 786
767, 111, 391, 262

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

3 x 767 x 111 x 391 x 262 = 26164813662

Therefore, the lowest common multiple of 767,333,391,786 is 26164813662.

LCM Formula to Find Lowest Common Multiple of 767,333,391,786

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.

767 x 333 x 391 x 786 = 78494440986

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.

767 : 1, 13, 59, 767

333 : 1, 3, 9, 37, 111, 333

391 : 1, 17, 23, 391

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 767,333,391,786, is 1.

Now, the common factors can be found like this.

767:13x 59

333:3x 3x 37

391:17x 23

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 78494440986/(1x3)

LCM = 78494440986/3

LCM = 26164813662

Thus, we can understand that the LCM of 767,333,391,786 is 26164813662.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 333, 391, 786

1. What is the LCM of 767, 333, 391, 786?

Answer: LCM of 767, 333, 391, 786 is 26164813662.

2. How to calculate the LCM of 767, 333, 391, 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 767, 333, 391, 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}.