Given numbers are 499,312,742

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

The LCM of 499,312,742 is 57760248.

Find LCM of 499,312,742 with Prime Factorization

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

2 x 499 x 156 x 371 = 57760248

Therefore, the lowest common multiple of 499,312,742 is 57760248.

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.

499 x 312 x 742 = 115520496

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.

499 : 1, 499

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,312,742, is 1.

Now, the common factors can be found like this.

499:499

312:2x 2x 2x 3x 13

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 115520496/(1x2)

LCM = 115520496/2

LCM = 57760248

Thus, we can understand that the LCM of 499,312,742 is 57760248.

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

• LCM of 579, 642, 252
• LCM of 383, 366, 363
• LCM of 181, 398, 310
• LCM of 598, 245, 348
• LCM of 349, 894, 520

1. What is the LCM of 499, 312, 742?

Answer: LCM of 499, 312, 742 is 57760248.

2. How to calculate the LCM of 499, 312, 742?

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 499, 312, 742.

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}.