Given numbers are 743,168,372,871,696

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

The LCM of 743,168,372,871,696 is 97740811896.

Find LCM of 743,168,372,871,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 743 x 7 x 31 x 871 x 29 = 97740811896

Therefore, the lowest common multiple of 743,168,372,871,696 is 97740811896.

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.

743 x 168 x 372 x 871 x 696 = 28149353826048

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.

743 : 1, 743

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

871 : 1, 13, 67, 871

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,168,372,871,696, is 1.

Now, the common factors can be found like this.

743:743

168:2x 2x 2x 3x 7

372:2x 2x 3x 31

871:13x 67

696:2x 2x 2x 3x 29

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 = 28149353826048/(1x288)

LCM = 28149353826048/288

LCM = 97740811896

Thus, we can understand that the LCM of 743,168,372,871,696 is 97740811896.

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

• LCM of 945, 824, 312, 487, 818
• LCM of 161, 666, 853, 482, 146
• LCM of 242, 907, 817, 194, 353
• LCM of 705, 211, 235, 149, 593
• LCM of 867, 816, 870, 259, 743

1. What is the LCM of 743, 168, 372, 871, 696?

Answer: LCM of 743, 168, 372, 871, 696 is 97740811896.

2. How to calculate the LCM of 743, 168, 372, 871, 696?

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 743, 168, 372, 871, 696.

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}.