Given numbers are 742,372,283,648

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

The LCM of 742,372,283,648 is 2109099384.

Find LCM of 742,372,283,648 with Prime Factorization

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

2 x 2 x 3 x 371 x 31 x 283 x 54 = 2109099384

Therefore, the lowest common multiple of 742,372,283,648 is 2109099384.

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 372 x 283 x 648 = 50618385216

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

283 : 1, 283

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,372,283,648, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

372:2x 2x 3x 31

283:283

648:2x 2x 2x 3x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 50618385216/(1x24)

LCM = 50618385216/24

LCM = 2109099384

Thus, we can understand that the LCM of 742,372,283,648 is 2109099384.

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

• LCM of 874, 887, 685, 139
• LCM of 999, 258, 894, 783
• LCM of 232, 144, 300, 444
• LCM of 420, 201, 491, 649
• LCM of 462, 467, 489, 331

1. What is the LCM of 742, 372, 283, 648?

Answer: LCM of 742, 372, 283, 648 is 2109099384.

2. How to calculate the LCM of 742, 372, 283, 648?

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, 372, 283, 648.

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}.