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LCM of 789, 844, 514, 428

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


Find the LCM of 789, 844, 514, 428 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 789, 844, 514, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 789,844,514,428

Given numbers are 789,844,514,428

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

The LCM of 789,844,514,428 is 18312024084.

Find LCM of 789,844,514,428 with Prime Factorization


2 789, 844, 514, 428
2 789, 422, 257, 214
789, 211, 257, 107

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

2 x 2 x 789 x 211 x 257 x 107 = 18312024084

Therefore, the lowest common multiple of 789,844,514,428 is 18312024084.

LCM Formula to Find Lowest Common Multiple of 789,844,514,428

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.

789 x 844 x 514 x 428 = 146496192672

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.

789 : 1, 3, 263, 789

844 : 1, 2, 4, 211, 422, 844

514 : 1, 2, 257, 514

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,844,514,428, is 1.

Now, the common factors can be found like this.

789:3x 263

844:2x 2x 211

514:2x 257

428:2x 2x 107

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 146496192672/(1x8)

LCM = 146496192672/8

LCM = 18312024084

Thus, we can understand that the LCM of 789,844,514,428 is 18312024084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 789, 844, 514, 428

1. What is the LCM of 789, 844, 514, 428?

Answer: LCM of 789, 844, 514, 428 is 18312024084.

2. How to calculate the LCM of 789, 844, 514, 428?

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 789, 844, 514, 428.

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}.