Given numbers are 742,569,496,532,684

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

The LCM of 742,569,496,532,684 is 17904572784.

Find LCM of 742,569,496,532,684 with Prime Factorization

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

2 x 2 x 7 x 19 x 53 x 569 x 124 x 1 x 9 = 17904572784

Therefore, the lowest common multiple of 742,569,496,532,684 is 17904572784.

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 569 x 496 x 532 x 684 = 76201861768704

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

569 : 1, 569

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,569,496,532,684, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

569:569

496:2x 2x 2x 2x 31

532:2x 2x 7x 19

684:2x 2x 3x 3x 19

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 2x 7x 19 = 4256

Therefore, the value for common factors is 4256.

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 = 76201861768704/(1x4256)

LCM = 76201861768704/4256

LCM = 17904572784

Thus, we can understand that the LCM of 742,569,496,532,684 is 17904572784.

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

• LCM of 241, 159, 827, 623, 405
• LCM of 165, 733, 132, 699, 667
• LCM of 271, 913, 600, 910, 360
• LCM of 356, 441, 601, 294, 243
• LCM of 904, 297, 441, 222, 821

1. What is the LCM of 742, 569, 496, 532, 684?

Answer: LCM of 742, 569, 496, 532, 684 is 17904572784.

2. How to calculate the LCM of 742, 569, 496, 532, 684?

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, 569, 496, 532, 684.

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}.