Given numbers are 369,313,472,590

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

The LCM of 369,313,472,590 is 272572920.

Find LCM of 369,313,472,590 with Prime Factorization

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

2 x 59 x 369 x 313 x 4 x 5 = 272572920

Therefore, the lowest common multiple of 369,313,472,590 is 272572920.

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.

369 x 313 x 472 x 590 = 32163604560

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.

369 : 1, 3, 9, 41, 123, 369

313 : 1, 313

472 : 1, 2, 4, 8, 59, 118, 236, 472

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,313,472,590, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

313:313

472:2x 2x 2x 59

590:2x 5x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 32163604560/(1x118)

LCM = 32163604560/118

LCM = 272572920

Thus, we can understand that the LCM of 369,313,472,590 is 272572920.

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

• LCM of 104, 202, 631, 890
• LCM of 130, 289, 116, 111
• LCM of 778, 521, 133, 900
• LCM of 636, 884, 328, 374
• LCM of 188, 730, 740, 802

1. What is the LCM of 369, 313, 472, 590?

Answer: LCM of 369, 313, 472, 590 is 272572920.

2. How to calculate the LCM of 369, 313, 472, 590?

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 369, 313, 472, 590.

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}.