Given numbers are 726,692,294,372,872

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

The LCM of 726,692,294,372,872 is 83181545832.

Find LCM of 726,692,294,372,872 with Prime Factorization

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

2 x 2 x 3 x 121 x 173 x 49 x 31 x 218 = 83181545832

Therefore, the lowest common multiple of 726,692,294,372,872 is 83181545832.

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.

726 x 692 x 294 x 372 x 872 = 47912570399232

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

692 : 1, 2, 4, 173, 346, 692

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,692,294,372,872, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

692:2x 2x 173

294:2x 3x 7x 7

372:2x 2x 3x 31

872:2x 2x 2x 109

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 47912570399232/(2x288)

LCM = 47912570399232/576

LCM = 83181545832

Thus, we can understand that the LCM of 726,692,294,372,872 is 83181545832.

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

• LCM of 213, 598, 433, 142, 866
• LCM of 481, 947, 261, 188, 328
• LCM of 577, 155, 710, 398, 227
• LCM of 336, 429, 160, 520, 673
• LCM of 285, 638, 969, 333, 951

1. What is the LCM of 726, 692, 294, 372, 872?

Answer: LCM of 726, 692, 294, 372, 872 is 83181545832.

2. How to calculate the LCM of 726, 692, 294, 372, 872?

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 726, 692, 294, 372, 872.

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}.