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LCM of 578, 849, 428, 646

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


Find the LCM of 578, 849, 428, 646 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 578, 849, 428, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,849,428,646

Given numbers are 578,849,428,646

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

The LCM of 578,849,428,646 is 1995275652.

Find LCM of 578,849,428,646 with Prime Factorization


2 578, 849, 428, 646
17 289, 849, 214, 323
17, 849, 214, 19

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

2 x 17 x 17 x 849 x 214 x 19 = 1995275652

Therefore, the lowest common multiple of 578,849,428,646 is 1995275652.

LCM Formula to Find Lowest Common Multiple of 578,849,428,646

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.

578 x 849 x 428 x 646 = 135678744336

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.

578 : 1, 2, 17, 34, 289, 578

849 : 1, 3, 283, 849

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,849,428,646, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

849:3x 283

428:2x 2x 107

646:2x 17x 19

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 17 = 68

Therefore, the value for common factors is 68.

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 = 135678744336/(1x68)

LCM = 135678744336/68

LCM = 1995275652

Thus, we can understand that the LCM of 578,849,428,646 is 1995275652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 849, 428, 646

1. What is the LCM of 578, 849, 428, 646?

Answer: LCM of 578, 849, 428, 646 is 1995275652.

2. How to calculate the LCM of 578, 849, 428, 646?

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 578, 849, 428, 646.

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}.