Given numbers are 469,331,936,413,525

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

The LCM of 469,331,936,413,525 is 214322963400.

Find LCM of 469,331,936,413,525 with Prime Factorization

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

3 x 7 x 67 x 331 x 312 x 59 x 25 = 214322963400

Therefore, the lowest common multiple of 469,331,936,413,525 is 214322963400.

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.

469 x 331 x 936 x 413 x 525 = 31505475619800

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.

469 : 1, 7, 67, 469

331 : 1, 331

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

413 : 1, 7, 59, 413

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,331,936,413,525, is 1.

Now, the common factors can be found like this.

469:7x 67

331:331

936:2x 2x 2x 3x 3x 13

413:7x 59

525:3x 5x 5x 7

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 31505475619800/(1x147)

LCM = 31505475619800/147

LCM = 214322963400

Thus, we can understand that the LCM of 469,331,936,413,525 is 214322963400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 294, 978, 143, 152, 823
• LCM of 416, 499, 631, 745, 737
• LCM of 784, 252, 475, 117, 595
• LCM of 456, 808, 957, 620, 245
• LCM of 827, 896, 487, 458, 958

1. What is the LCM of 469, 331, 936, 413, 525?

Answer: LCM of 469, 331, 936, 413, 525 is 214322963400.

2. How to calculate the LCM of 469, 331, 936, 413, 525?

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 469, 331, 936, 413, 525.

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}.