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LCM of 598, 614, 382, 412

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


Find the LCM of 598, 614, 382, 412 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 598, 614, 382, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,614,382,412

Given numbers are 598,614,382,412

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

The LCM of 598,614,382,412 is 7223374756.

Find LCM of 598,614,382,412 with Prime Factorization


2 598, 614, 382, 412
299, 307, 191, 206

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

2 x 299 x 307 x 191 x 206 = 7223374756

Therefore, the lowest common multiple of 598,614,382,412 is 7223374756.

LCM Formula to Find Lowest Common Multiple of 598,614,382,412

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.

598 x 614 x 382 x 412 = 57786998048

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

614 : 1, 2, 307, 614

382 : 1, 2, 191, 382

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,614,382,412, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

614:2x 307

382:2x 191

412:2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57786998048/(2x4)

LCM = 57786998048/8

LCM = 7223374756

Thus, we can understand that the LCM of 598,614,382,412 is 7223374756.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 614, 382, 412

1. What is the LCM of 598, 614, 382, 412?

Answer: LCM of 598, 614, 382, 412 is 7223374756.

2. How to calculate the LCM of 598, 614, 382, 412?

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 598, 614, 382, 412.

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}.