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LCM of 604, 988, 864, 473

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


Find the LCM of 604, 988, 864, 473 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 604, 988, 864, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,988,864,473

Given numbers are 604,988,864,473

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

The LCM of 604,988,864,473 is 15242239584.

Find LCM of 604,988,864,473 with Prime Factorization


2 604, 988, 864, 473
2 302, 494, 432, 473
151, 247, 216, 473

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

2 x 2 x 151 x 247 x 216 x 473 = 15242239584

Therefore, the lowest common multiple of 604,988,864,473 is 15242239584.

LCM Formula to Find Lowest Common Multiple of 604,988,864,473

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.

604 x 988 x 864 x 473 = 243875833344

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.

604 : 1, 2, 4, 151, 302, 604

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,988,864,473, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

988:2x 2x 13x 19

864:2x 2x 2x 2x 2x 3x 3x 3

473:11x 43

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 243875833344/(1x16)

LCM = 243875833344/16

LCM = 15242239584

Thus, we can understand that the LCM of 604,988,864,473 is 15242239584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 988, 864, 473

1. What is the LCM of 604, 988, 864, 473?

Answer: LCM of 604, 988, 864, 473 is 15242239584.

2. How to calculate the LCM of 604, 988, 864, 473?

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 604, 988, 864, 473.

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}.