Given numbers are 496,915,990,349

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

The LCM of 496,915,990,349 is 5226875280.

Find LCM of 496,915,990,349 with Prime Factorization

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

2 x 3 x 5 x 248 x 61 x 33 x 349 = 5226875280

Therefore, the lowest common multiple of 496,915,990,349 is 5226875280.

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.

496 x 915 x 990 x 349 = 156806258400

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.

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

915 : 1, 3, 5, 15, 61, 183, 305, 915

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,915,990,349, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

915:3x 5x 61

990:2x 3x 3x 5x 11

349:349

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 156806258400/(1x30)

LCM = 156806258400/30

LCM = 5226875280

Thus, we can understand that the LCM of 496,915,990,349 is 5226875280.

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

• LCM of 904, 898, 884, 974
• LCM of 947, 690, 230, 423
• LCM of 972, 445, 660, 470
• LCM of 805, 396, 316, 538
• LCM of 147, 708, 170, 837

1. What is the LCM of 496, 915, 990, 349?

Answer: LCM of 496, 915, 990, 349 is 5226875280.

2. How to calculate the LCM of 496, 915, 990, 349?

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 496, 915, 990, 349.

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}.