Given numbers are 214,642,660,975,139

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

The LCM of 214,642,660,975,139 is 638051700.

Find LCM of 214,642,660,975,139 with Prime Factorization

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

2 x 3 x 5 x 107 x 1 x 1 x 22 x 65 x 139 = 638051700

Therefore, the lowest common multiple of 214,642,660,975,139 is 638051700.

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.

214 x 642 x 660 x 975 x 139 = 12288875742000

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.

214 : 1, 2, 107, 214

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

139 : 1, 139

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,642,660,975,139, is 1.

Now, the common factors can be found like this.

214:2x 107

642:2x 3x 107

660:2x 2x 3x 5x 11

975:3x 5x 5x 13

139:139

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 3x 3x 5x 107 = 19260

Therefore, the value for common factors is 19260.

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 = 12288875742000/(1x19260)

LCM = 12288875742000/19260

LCM = 638051700

Thus, we can understand that the LCM of 214,642,660,975,139 is 638051700.

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

• LCM of 423, 956, 880, 515, 843
• LCM of 639, 319, 399, 974, 344
• LCM of 872, 745, 545, 617, 311
• LCM of 156, 340, 776, 971, 459
• LCM of 952, 863, 362, 142, 316

1. What is the LCM of 214, 642, 660, 975, 139?

Answer: LCM of 214, 642, 660, 975, 139 is 638051700.

2. How to calculate the LCM of 214, 642, 660, 975, 139?

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 214, 642, 660, 975, 139.

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}.