Given numbers are 742,171,772,776,440

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

The LCM of 742,171,772,776,440 is 522578742840.

Find LCM of 742,171,772,776,440 with Prime Factorization

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

2 x 2 x 2 x 371 x 171 x 193 x 97 x 55 = 522578742840

Therefore, the lowest common multiple of 742,171,772,776,440 is 522578742840.

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 171 x 772 x 776 x 440 = 33445039541760

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

171 : 1, 3, 9, 19, 57, 171

772 : 1, 2, 4, 193, 386, 772

776 : 1, 2, 4, 8, 97, 194, 388, 776

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,171,772,776,440, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

171:3x 3x 19

772:2x 2x 193

776:2x 2x 2x 97

440:2x 2x 2x 5x 11

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 2 = 64

Therefore, the value for common factors is 64.

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 = 33445039541760/(1x64)

LCM = 33445039541760/64

LCM = 522578742840

Thus, we can understand that the LCM of 742,171,772,776,440 is 522578742840.

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

• LCM of 297, 301, 747, 228, 482
• LCM of 911, 108, 119, 318, 620
• LCM of 748, 879, 557, 396, 693
• LCM of 246, 761, 196, 467, 552
• LCM of 776, 631, 535, 109, 641

1. What is the LCM of 742, 171, 772, 776, 440?

Answer: LCM of 742, 171, 772, 776, 440 is 522578742840.

2. How to calculate the LCM of 742, 171, 772, 776, 440?

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, 171, 772, 776, 440.

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}.