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LCM of 473, 598, 498, 461, 598

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


Find the LCM of 473, 598, 498, 461, 598 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 473, 598, 498, 461, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,598,498,461,598

Given numbers are 473,598,498,461,598

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

The LCM of 473,598,498,461,598 is 32468527806.

Find LCM of 473,598,498,461,598 with Prime Factorization


2 473, 598, 498, 461, 598
13 473, 299, 249, 461, 299
23 473, 23, 249, 461, 23
473, 1, 249, 461, 1

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

2 x 13 x 23 x 473 x 1 x 249 x 461 x 1 = 32468527806

Therefore, the lowest common multiple of 473,598,498,461,598 is 32468527806.

LCM Formula to Find Lowest Common Multiple of 473,598,498,461,598

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.

473 x 598 x 498 x 461 x 598 = 38832359255976

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.

473 : 1, 11, 43, 473

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

498 : 1, 2, 3, 6, 83, 166, 249, 498

461 : 1, 461

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,598,498,461,598, is 1.

Now, the common factors can be found like this.

473:11x 43

598:2x 13x 23

498:2x 3x 83

461:461

598:2x 13x 23

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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 38832359255976/(1x1196)

LCM = 38832359255976/1196

LCM = 32468527806

Thus, we can understand that the LCM of 473,598,498,461,598 is 32468527806.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 598, 498, 461, 598

1. What is the LCM of 473, 598, 498, 461, 598?

Answer: LCM of 473, 598, 498, 461, 598 is 32468527806.

2. How to calculate the LCM of 473, 598, 498, 461, 598?

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 473, 598, 498, 461, 598.

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}.