Given numbers are 424,795,192,742

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

The LCM of 424,795,192,742 is 356160.

Find LCM of 424,795,192,742 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 1 x 5 x 8 x 7 = 356160

Therefore, the lowest common multiple of 424,795,192,742 is 356160.

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.

424 x 795 x 192 x 742 = 48021765120

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

795 : 1, 3, 5, 15, 53, 159, 265, 795

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 424,795,192,742, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

795:3x 5x 53

192:2x 2x 2x 2x 2x 2x 3

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.

2x 2x 2x 2x 3x 53x 53 = 134832

Therefore, the value for common factors is 134832.

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 = 48021765120/(1x134832)

LCM = 48021765120/134832

LCM = 356160

Thus, we can understand that the LCM of 424,795,192,742 is 356160.

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

• LCM of 354, 371, 934, 261
• LCM of 967, 775, 500, 145
• LCM of 950, 788, 293, 825
• LCM of 628, 523, 879, 212
• LCM of 336, 744, 442, 922

1. What is the LCM of 424, 795, 192, 742?

Answer: LCM of 424, 795, 192, 742 is 356160.

2. How to calculate the LCM of 424, 795, 192, 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 424, 795, 192, 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}.