Given numbers are 140,305,626,214

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

The LCM of 140,305,626,214 is 286013140.

Find LCM of 140,305,626,214 with Prime Factorization

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

2 x 5 x 14 x 61 x 313 x 107 = 286013140

Therefore, the lowest common multiple of 140,305,626,214 is 286013140.

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.

140 x 305 x 626 x 214 = 5720262800

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

305 : 1, 5, 61, 305

626 : 1, 2, 313, 626

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,305,626,214, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

305:5x 61

626:2x 313

214:2x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 5720262800/(1x20)

LCM = 5720262800/20

LCM = 286013140

Thus, we can understand that the LCM of 140,305,626,214 is 286013140.

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

• LCM of 671, 907, 868, 556
• LCM of 534, 602, 383, 960
• LCM of 111, 406, 321, 152
• LCM of 154, 890, 274, 759
• LCM of 816, 152, 642, 366

1. What is the LCM of 140, 305, 626, 214?

Answer: LCM of 140, 305, 626, 214 is 286013140.

2. How to calculate the LCM of 140, 305, 626, 214?

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 140, 305, 626, 214.

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}.