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LCM of 598, 204, 963, 642

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


Find the LCM of 598, 204, 963, 642 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, 204, 963, 642. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,204,963,642

Given numbers are 598,204,963,642

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

The LCM of 598,204,963,642 is 19579716.

Find LCM of 598,204,963,642 with Prime Factorization


2 598, 204, 963, 642
3 299, 102, 963, 321
107 299, 34, 107, 321
299, 34, 1, 3

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

2 x 3 x 107 x 299 x 34 x 1 x 3 = 19579716

Therefore, the lowest common multiple of 598,204,963,642 is 19579716.

LCM Formula to Find Lowest Common Multiple of 598,204,963,642

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 204 x 963 x 642 = 75421066032

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

963 : 1, 3, 9, 107, 321, 963

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,204,963,642, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

204:2x 2x 3x 17

963:3x 3x 107

642:2x 3x 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 3x 3x 107 = 3852

Therefore, the value for common factors is 3852.

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 = 75421066032/(1x3852)

LCM = 75421066032/3852

LCM = 19579716

Thus, we can understand that the LCM of 598,204,963,642 is 19579716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 204, 963, 642

1. What is the LCM of 598, 204, 963, 642?

Answer: LCM of 598, 204, 963, 642 is 19579716.

2. How to calculate the LCM of 598, 204, 963, 642?

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, 204, 963, 642.

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}.