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LCM of 300, 951, 864, 361, 469

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


Find the LCM of 300, 951, 864, 361, 469 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 300, 951, 864, 361, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 300,951,864,361,469

Given numbers are 300,951,864,361,469

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

The LCM of 300,951,864,361,469 is 1159292584800.

Find LCM of 300,951,864,361,469 with Prime Factorization


2 300, 951, 864, 361, 469
2 150, 951, 432, 361, 469
3 75, 951, 216, 361, 469
25, 317, 72, 361, 469

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

2 x 2 x 3 x 25 x 317 x 72 x 361 x 469 = 1159292584800

Therefore, the lowest common multiple of 300,951,864,361,469 is 1159292584800.

LCM Formula to Find Lowest Common Multiple of 300,951,864,361,469

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.

300 x 951 x 864 x 361 x 469 = 41734533052800

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

951 : 1, 3, 317, 951

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

361 : 1, 19, 361

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,951,864,361,469, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

951:3x 317

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

361:19x 19

469:7x 67

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 3 = 36

Therefore, the value for common factors is 36.

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 = 41734533052800/(1x36)

LCM = 41734533052800/36

LCM = 1159292584800

Thus, we can understand that the LCM of 300,951,864,361,469 is 1159292584800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 300, 951, 864, 361, 469

1. What is the LCM of 300, 951, 864, 361, 469?

Answer: LCM of 300, 951, 864, 361, 469 is 1159292584800.

2. How to calculate the LCM of 300, 951, 864, 361, 469?

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 300, 951, 864, 361, 469.

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}.