Given numbers are 742,103,582,206,271

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

The LCM of 742,103,582,206,271 is 6027030786.

Find LCM of 742,103,582,206,271 with Prime Factorization

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

2 x 103 x 371 x 1 x 291 x 1 x 271 = 6027030786

Therefore, the lowest common multiple of 742,103,582,206,271 is 6027030786.

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.

742 x 103 x 582 x 206 x 271 = 2483136683832

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.

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

103 : 1, 103

582 : 1, 2, 3, 6, 97, 194, 291, 582

206 : 1, 2, 103, 206

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,103,582,206,271, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

103:103

582:2x 3x 97

206:2x 103

271:271

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 103 = 412

Therefore, the value for common factors is 412.

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 = 2483136683832/(1x412)

LCM = 2483136683832/412

LCM = 6027030786

Thus, we can understand that the LCM of 742,103,582,206,271 is 6027030786.

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

• LCM of 497, 749, 636, 657, 907
• LCM of 417, 990, 957, 298, 639
• LCM of 351, 175, 700, 878, 580
• LCM of 114, 943, 717, 137, 223
• LCM of 458, 264, 329, 464, 858

1. What is the LCM of 742, 103, 582, 206, 271?

Answer: LCM of 742, 103, 582, 206, 271 is 6027030786.

2. How to calculate the LCM of 742, 103, 582, 206, 271?

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 742, 103, 582, 206, 271.

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}.