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LCM of 769, 332, 874, 786

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


Find the LCM of 769, 332, 874, 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 769, 332, 874, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,332,874,786

Given numbers are 769,332,874,786

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

The LCM of 769,332,874,786 is 43846851228.

Find LCM of 769,332,874,786 with Prime Factorization


2 769, 332, 874, 786
769, 166, 437, 393

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

2 x 769 x 166 x 437 x 393 = 43846851228

Therefore, the lowest common multiple of 769,332,874,786 is 43846851228.

LCM Formula to Find Lowest Common Multiple of 769,332,874,786

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.

769 x 332 x 874 x 786 = 175387404912

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.

769 : 1, 769

332 : 1, 2, 4, 83, 166, 332

874 : 1, 2, 19, 23, 38, 46, 437, 874

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 769,332,874,786, is 1.

Now, the common factors can be found like this.

769:769

332:2x 2x 83

874:2x 19x 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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 175387404912/(1x4)

LCM = 175387404912/4

LCM = 43846851228

Thus, we can understand that the LCM of 769,332,874,786 is 43846851228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 332, 874, 786

1. What is the LCM of 769, 332, 874, 786?

Answer: LCM of 769, 332, 874, 786 is 43846851228.

2. How to calculate the LCM of 769, 332, 874, 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 769, 332, 874, 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}.