Given numbers are 140,526,214,745

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

The LCM of 140,526,214,745 is 587021260.

Find LCM of 140,526,214,745 with Prime Factorization

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

2 x 5 x 14 x 263 x 107 x 149 = 587021260

Therefore, the lowest common multiple of 140,526,214,745 is 587021260.

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 526 x 214 x 745 = 11740425200

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

526 : 1, 2, 263, 526

214 : 1, 2, 107, 214

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,526,214,745, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

526:2x 263

214:2x 107

745:5x 149

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 = 11740425200/(1x20)

LCM = 11740425200/20

LCM = 587021260

Thus, we can understand that the LCM of 140,526,214,745 is 587021260.

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

• LCM of 636, 825, 521, 242
• LCM of 915, 266, 302, 235
• LCM of 592, 993, 400, 716
• LCM of 684, 179, 591, 435
• LCM of 358, 429, 271, 300

1. What is the LCM of 140, 526, 214, 745?

Answer: LCM of 140, 526, 214, 745 is 587021260.

2. How to calculate the LCM of 140, 526, 214, 745?

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, 526, 214, 745.

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}.