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LCM of 764, 789, 254, 545, 329

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


Find the LCM of 764, 789, 254, 545, 329 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 764, 789, 254, 545, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,789,254,545,329

Given numbers are 764,789,254,545,329

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

The LCM of 764,789,254,545,329 is 13726710771060.

Find LCM of 764,789,254,545,329 with Prime Factorization


2 764, 789, 254, 545, 329
382, 789, 127, 545, 329

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

2 x 382 x 789 x 127 x 545 x 329 = 13726710771060

Therefore, the lowest common multiple of 764,789,254,545,329 is 13726710771060.

LCM Formula to Find Lowest Common Multiple of 764,789,254,545,329

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.

764 x 789 x 254 x 545 x 329 = 27453421542120

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.

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

789 : 1, 3, 263, 789

254 : 1, 2, 127, 254

545 : 1, 5, 109, 545

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,789,254,545,329, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

789:3x 263

254:2x 127

545:5x 109

329:7x 47

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 = 27453421542120/(1x2)

LCM = 27453421542120/2

LCM = 13726710771060

Thus, we can understand that the LCM of 764,789,254,545,329 is 13726710771060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 789, 254, 545, 329

1. What is the LCM of 764, 789, 254, 545, 329?

Answer: LCM of 764, 789, 254, 545, 329 is 13726710771060.

2. How to calculate the LCM of 764, 789, 254, 545, 329?

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 764, 789, 254, 545, 329.

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}.