Given numbers are 742,545,415,496,230

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

The LCM of 742,545,415,496,230 is 191451166480.

Find LCM of 742,545,415,496,230 with Prime Factorization

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

2 x 5 x 371 x 109 x 83 x 248 x 23 = 191451166480

Therefore, the lowest common multiple of 742,545,415,496,230 is 191451166480.

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 545 x 415 x 496 x 230 = 19145116648000

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

545 : 1, 5, 109, 545

415 : 1, 5, 83, 415

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,545,415,496,230, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

545:5x 109

415:5x 83

496:2x 2x 2x 2x 31

230:2x 5x 23

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 19145116648000/(1x100)

LCM = 19145116648000/100

LCM = 191451166480

Thus, we can understand that the LCM of 742,545,415,496,230 is 191451166480.

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

• LCM of 291, 553, 237, 748, 722
• LCM of 517, 987, 391, 119, 316
• LCM of 831, 432, 736, 236, 479
• LCM of 629, 538, 147, 415, 957
• LCM of 462, 651, 729, 453, 682

1. What is the LCM of 742, 545, 415, 496, 230?

Answer: LCM of 742, 545, 415, 496, 230 is 191451166480.

2. How to calculate the LCM of 742, 545, 415, 496, 230?

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, 545, 415, 496, 230.

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}.