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LCM of 578, 698, 614, 553, 596

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


Find the LCM of 578, 698, 614, 553, 596 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, 698, 614, 553, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,698,614,553,596

Given numbers are 578,698,614,553,596

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

The LCM of 578,698,614,553,596 is 10205470607276.

Find LCM of 578,698,614,553,596 with Prime Factorization


2 578, 698, 614, 553, 596
289, 349, 307, 553, 298

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

2 x 289 x 349 x 307 x 553 x 298 = 10205470607276

Therefore, the lowest common multiple of 578,698,614,553,596 is 10205470607276.

LCM Formula to Find Lowest Common Multiple of 578,698,614,553,596

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 698 x 614 x 553 x 596 = 81643764858208

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

698 : 1, 2, 349, 698

614 : 1, 2, 307, 614

553 : 1, 7, 79, 553

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,698,614,553,596, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

698:2x 349

614:2x 307

553:7x 79

596:2x 2x 149

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 = 81643764858208/(1x8)

LCM = 81643764858208/8

LCM = 10205470607276

Thus, we can understand that the LCM of 578,698,614,553,596 is 10205470607276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 698, 614, 553, 596

1. What is the LCM of 578, 698, 614, 553, 596?

Answer: LCM of 578, 698, 614, 553, 596 is 10205470607276.

2. How to calculate the LCM of 578, 698, 614, 553, 596?

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, 698, 614, 553, 596.

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}.