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LCM of 428, 349, 669, 789

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


Find the LCM of 428, 349, 669, 789 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 428, 349, 669, 789. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,349,669,789

Given numbers are 428,349,669,789

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

The LCM of 428,349,669,789 is 26281555284.

Find LCM of 428,349,669,789 with Prime Factorization


3 428, 349, 669, 789
428, 349, 223, 263

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

3 x 428 x 349 x 223 x 263 = 26281555284

Therefore, the lowest common multiple of 428,349,669,789 is 26281555284.

LCM Formula to Find Lowest Common Multiple of 428,349,669,789

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.

428 x 349 x 669 x 789 = 78844665852

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.

428 : 1, 2, 4, 107, 214, 428

349 : 1, 349

669 : 1, 3, 223, 669

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,349,669,789, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

349:349

669:3x 223

789:3x 263

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 = 78844665852/(1x3)

LCM = 78844665852/3

LCM = 26281555284

Thus, we can understand that the LCM of 428,349,669,789 is 26281555284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 349, 669, 789

1. What is the LCM of 428, 349, 669, 789?

Answer: LCM of 428, 349, 669, 789 is 26281555284.

2. How to calculate the LCM of 428, 349, 669, 789?

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 428, 349, 669, 789.

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}.