Given numbers are 314,642,749,305

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

The LCM of 314,642,749,305 is 215195190.

Find LCM of 314,642,749,305 with Prime Factorization

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

2 x 107 x 157 x 3 x 7 x 305 = 215195190

Therefore, the lowest common multiple of 314,642,749,305 is 215195190.

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.

314 x 642 x 749 x 305 = 46051770660

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.

314 : 1, 2, 157, 314

642 : 1, 2, 3, 6, 107, 214, 321, 642

749 : 1, 7, 107, 749

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,642,749,305, is 1.

Now, the common factors can be found like this.

314:2x 157

642:2x 3x 107

749:7x 107

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 46051770660/(1x214)

LCM = 46051770660/214

LCM = 215195190

Thus, we can understand that the LCM of 314,642,749,305 is 215195190.

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

• LCM of 470, 362, 345, 514
• LCM of 787, 161, 827, 730
• LCM of 587, 303, 589, 441
• LCM of 432, 264, 181, 545
• LCM of 922, 935, 199, 548

1. What is the LCM of 314, 642, 749, 305?

Answer: LCM of 314, 642, 749, 305 is 215195190.

2. How to calculate the LCM of 314, 642, 749, 305?

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 314, 642, 749, 305.

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}.