Given numbers are 494,732,742

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

The LCM of 494,732,742 is 67078284.

Find LCM of 494,732,742 with Prime Factorization

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

2 x 247 x 366 x 371 = 67078284

Therefore, the lowest common multiple of 494,732,742 is 67078284.

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.

494 x 732 x 742 = 268313136

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,732,742, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

732:2x 2x 3x 61

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 = 268313136/(2x2)

LCM = 268313136/4

LCM = 67078284

Thus, we can understand that the LCM of 494,732,742 is 67078284.

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

• LCM of 353, 472, 532
• LCM of 137, 395, 948
• LCM of 854, 976, 297
• LCM of 967, 493, 129
• LCM of 890, 217, 280

1. What is the LCM of 494, 732, 742?

Answer: LCM of 494, 732, 742 is 67078284.

2. How to calculate the LCM of 494, 732, 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 494, 732, 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}.