Given numbers are 393,279,496,469

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

The LCM of 393,279,496,469 is 274263696.

Find LCM of 393,279,496,469 with Prime Factorization

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

3 x 31 x 131 x 3 x 16 x 469 = 274263696

Therefore, the lowest common multiple of 393,279,496,469 is 274263696.

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.

393 x 279 x 496 x 469 = 25506523728

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.

393 : 1, 3, 131, 393

279 : 1, 3, 9, 31, 93, 279

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,279,496,469, is 1.

Now, the common factors can be found like this.

393:3x 131

279:3x 3x 31

496:2x 2x 2x 2x 31

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.

3x 31 = 93

Therefore, the value for common factors is 93.

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 = 25506523728/(1x93)

LCM = 25506523728/93

LCM = 274263696

Thus, we can understand that the LCM of 393,279,496,469 is 274263696.

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

• LCM of 924, 839, 372, 147
• LCM of 190, 143, 580, 885
• LCM of 333, 218, 506, 666
• LCM of 711, 825, 613, 896
• LCM of 469, 870, 255, 548

1. What is the LCM of 393, 279, 496, 469?

Answer: LCM of 393, 279, 496, 469 is 274263696.

2. How to calculate the LCM of 393, 279, 496, 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 393, 279, 496, 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}.