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LCM of 774, 764, 742

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


Find the LCM of 774, 764, 742 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 774, 764, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 774,764,742

Given numbers are 774,764,742

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

The LCM of 774,764,742 is 109692828.

Find LCM of 774,764,742 with Prime Factorization


2 774, 764, 742
387, 382, 371

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

2 x 387 x 382 x 371 = 109692828

Therefore, the lowest common multiple of 774,764,742 is 109692828.

LCM Formula to Find Lowest Common Multiple of 774,764,742

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.

774 x 764 x 742 = 438771312

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.

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

764 : 1, 2, 4, 191, 382, 764

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,764,742, is 2.

Now, the common factors can be found like this.

774:2x 3x 3x 43

764:2x 2x 191

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 438771312/(2x2)

LCM = 438771312/4

LCM = 109692828

Thus, we can understand that the LCM of 774,764,742 is 109692828.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 774, 764, 742

1. What is the LCM of 774, 764, 742?

Answer: LCM of 774, 764, 742 is 109692828.

2. How to calculate the LCM of 774, 764, 742?

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 774, 764, 742.

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}.