Given numbers are 888,346,214,749

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

The LCM of 888,346,214,749 is 115064376.

Find LCM of 888,346,214,749 with Prime Factorization

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

2 x 107 x 444 x 173 x 1 x 7 = 115064376

Therefore, the lowest common multiple of 888,346,214,749 is 115064376.

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.

888 x 346 x 214 x 749 = 49247552928

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.

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

346 : 1, 2, 173, 346

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,346,214,749, is 1.

Now, the common factors can be found like this.

888:2x 2x 2x 3x 37

346:2x 173

214:2x 107

749:7x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 49247552928/(1x428)

LCM = 49247552928/428

LCM = 115064376

Thus, we can understand that the LCM of 888,346,214,749 is 115064376.

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

• LCM of 267, 804, 680, 460
• LCM of 954, 460, 654, 984
• LCM of 313, 193, 603, 543
• LCM of 678, 292, 553, 128
• LCM of 962, 356, 433, 506

1. What is the LCM of 888, 346, 214, 749?

Answer: LCM of 888, 346, 214, 749 is 115064376.

2. How to calculate the LCM of 888, 346, 214, 749?

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 888, 346, 214, 749.

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}.